Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Covarian mappings and coupled fiexd point results in bipolar metric spaces
1
15
EN
G.N.V.
Kishore
1Department of Engineering Mathematics, Sagi Rama Krishnam Raju Engineering College, Chinamiram, Bhimavaram -534
204, Andhra Pradesh, India
kishore.apr2@gmail.com
K.P.R.
Rao
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur - 522 510, Andhra Pradesh, India
Huseyin
IsIk
Department of Mathematics, Mus Alparslan University, 49250 Mus, Turkey
B.
Srinuvasa Rao
Department of Mathematics, Dr. B. R. Ambedkar University, Srikakulam, Etcherla, Andhra Pradesh 532410, Andhra
Pradesh, India
A.
Sombabu
Department of Mathematics, Sasi Institute of Technology & Engineering, Sasi College Road, West Godavari District, near
Aerodrome, Tadepalligudem, Andhra Pradesh 534101, India
somu.mphil@gmail.com
10.22075/ijnaa.2021.4650
In this paper, we establish the existence and uniqueness of common coupled fixed point results for three covariant mappings in bipolar metric spaces. Moreover, we give an illustration which presents the applicability of the achieved results also we provided applications to homotopy theory as well as integral equations.
Bipolar metric space,$omega$-compatible mappings,Completeness,Common coupled fixed point
https://ijnaa.semnan.ac.ir/article_4650.html
https://ijnaa.semnan.ac.ir/article_4650_e5bf5b0188d77d6970ba131242fedde0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A real time adaptive multiresolution adaptive Wiener filter based on adaptive neuro-fuzzy inference system and fuzzy evaluation
17
26
EN
Ramzan
Abasnezhad Varzi
Department of Computer Engineering, Babol Branch, Islamic Azad University, Babol, Iran.
Javad
Vahidi
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.
j.vahidi@iust.ac.ir
Homayun
Motameni
0000-0003-2150-2811
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
h_motameni@yahoo.com
10.22075/ijnaa.2021.4651
In this paper, a real-time denoising filter based on modelling of stable hybrid models is presented. The hybrid models are composed of the shearlet filter and the adaptive Wiener filter in different forms. The optimization of various models is accomplished by the genetic algorithm. Next, regarding the significant relationship between Optimal models and input images, changing the structure of Optimal models for image denoising is modelled by the ANFIS. The eight hundred digital images are used as train images. For eight hundred training images, Sixty seven models are found. For integrated evaluation, the amounts of image attributes such as Peak Signal to Noise Ratio, Signal to Noise Ratio, Structural Similarity Index, Mean Absolute Error and Image Quality Assessment are evaluated by the Fuzzy deduction system. Finally, for the features of a sample noisy image as test data, the proposed denoising model of ANFIS is compared with wavelet filter in 2 and 4 level , Fast bilateral filter, TV-L1, Median, shearlet filter and the adaptive Wiener filter. In addition, run time of proposed method are evaluated. Experiments show that the proposed method has better performance than others.
Genetic algorithm,denoising,Fuzzy deduction system,Image processing,wavelet transformation,adaptive bilateral filters,adaptive neuro-fuzzy inference system
https://ijnaa.semnan.ac.ir/article_4651.html
https://ijnaa.semnan.ac.ir/article_4651_7f3f4a9bf38ac5c9f2273a207a4f41db.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A numerical solution of variable order diffusion and wave equations
27
36
EN
Nematollah
Kadkhoda
Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran.
Hossein
Jafari
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa.
jafari@umz.ac.ir
R.M.
Ganji
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
10.22075/ijnaa.2021.4652
In this work, we consider variable order difusion and wave equations. The derivative is described in the Caputo sence of variable order. We use the Genocchi polynomials as basic functions and obtain operational matrices via these polynomials. These matrices and collocation method help us to convert variable order diffusion and wave equations to an algebraic system. Some examples are given to show the validity of the presented method.
Variable order diffusion and wave equations,Genocchi polynomials,Operational matrix,Collocation method
https://ijnaa.semnan.ac.ir/article_4652.html
https://ijnaa.semnan.ac.ir/article_4652_5f0b8795fe57e648c2b3ec54b71f5e37.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics
37
44
EN
Hassan
Kamil Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
Javad
Vahidi
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.
j.vahidi@iust.ac.ir
10.22075/ijnaa.2021.4653
In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising in mathematical physics with local fractional derivative operators (LFDOs). To get approximate solutions of these equations, we utilize the reduce differential transform method (RDTM) which is based upon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. The obtained solutions show that the present method is an efficient and simple tool for solving the linear and nonlinear PDEs within the LFDOs.
Local fractional RDTM,Diffusion equation, Klein-Gordon equation, Schrodinger equation, Nonlinear gas dynamic equation, Local fractional derivative operators
https://ijnaa.semnan.ac.ir/article_4653.html
https://ijnaa.semnan.ac.ir/article_4653_333310b9c157555f2f7b292d61f95da3.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A meta-heuristic clustering method to reduce energy consumption in Internet of things
45
58
EN
Ehsan
Heidari
0000-0002-0848-317X
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
heidaari@gmail.com
Homayun
Motameni
0000-0003-2150-2811
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
h_motameni@yahoo.com
Ali
Movaghar
0000-0002-6803-6750
Department of Computer Engineering, Sharif University of Technology, Tehran, Iran
movaghar@sharif.edu
10.22075/ijnaa.2021.4657
The Internet of Things (IoT) is an emerging phenomenon in the field of communication, in which smart objects communicate with each other and respond to user requests. The IoT provides an integrated framework providing interoperability across various platforms. One of the most essential and necessary components of IoT is wireless sensor networks. Sensor networks play a vital role in the lowest level of IoT. Sensors in sensor networks use batteries which are not replaceable, and hence, energy consumption becomes of great importance. For this reason, many algorithms have been recently proposed to reduce energy consumption. In this paper, a meta-heuristic method called whale optimization algorithm(WOA) is used to clustering and select the optimal cluster head in the network. Factors such as residual energy, shorter distance, and collision reduction have been considered to determine the optimal cluster head. To prove the optimal performance of the proposed method, it is simulated and compared with three other methods in the same conditions. It outperforms the other methods in terms of energy consumption and the number of dead nodes.
Internet of Things,Clustering,routing,Energy consumption,whale optimization algorithm
https://ijnaa.semnan.ac.ir/article_4657.html
https://ijnaa.semnan.ac.ir/article_4657_3814331aca46a0fed014e98d5b27c04f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Linkage factors optimization of multi-outputs of compliant mechanism using response surface
59
74
EN
Rami
Alfattani
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi Arabia.
Mohammed
Yunus
0000-0003-1116-4978
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi Arabia.
yunus.mohammed@rediffmail.com
Turki
Alamro
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi Arabia.
Ibrahim
Alnaser
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University,
Makkah, Kingdom of Saudi Arabia.
ianaser@uqu.edu.sa
10.22075/ijnaa.2021.4658
This paper presents a linkage factors synthesis and multi-level optimization technique for bi-stable compliant mechanism. The linkage synthesis problem is modeled as multiple level factors and responses optimization problem with constraints. The bi-stable compliant mechanism is modeled as a crank slider mechanism using pseudo-rigid-body model (PRBM). The model exerts the large deflection of flexible element which explains compliant mechanism’s bi-stable performance. The design concept is applied on variable input parameters subsets. Though the effect of compliant mechanism process factors on Fmax and PRBM deflection angle (Theta-cap Θ1) are contradictory when studied individually as no response gives best process quality. The relationship model between input factors and responses characteristics were generated by ANOVA and optimized by response surface methodology (RSM). ANOVA shown more significant factors are the initial angle of link1 (θ1) and material thickness (t). The Box-Behnken design of RSM is applied with a desirability function approach to determine the optimum set of parameters for minimizing Fmax and maximizing the Theta-cap (Θ1). Thus, this technique shown flexibility based on the product application could be tested and established.
ANOVA,Compliant Mechanism,Particle swarm optimization,Linkage Design Factors,Surface Plots
https://ijnaa.semnan.ac.ir/article_4658.html
https://ijnaa.semnan.ac.ir/article_4658_362234389ac000b2d052af105a7e4781.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Excellence of financial reporting information and investment productivity
75
86
EN
Yidan
Zhu
School of Housing, Building and Planning, Universiti Sains Malaysia (USM), Malaysia.
Ernawati
Mustafa Kamal
School of Housing, Building and Planning, Universiti Sains Malaysia (USM), Malaysia.
Guosheng
Gao
School of Physics, Universiti Sains Malaysia (USM), Malaysia
Alim Al
Ayub Ahmed
School of Accounting, Jiujiang University, Jiujiang, Jiangxi, China.
A B M
Asadullah
Kulliyyah of Economics and Management Sciences, International Islamic University Malaysia (IIUM),Malaysia.
Praveen Kumar
Donepudi
Enterprise Architect, Information Technology, UST-Global, Inc.,Ohio, USA.
10.22075/ijnaa.2021.4659
Objective –This study intends to examine the relationship between investment efficiency and financial information excellence. The study is also examining the moderating impact of sustainability on the relation between excellence in financial information and investment productivity. Methodology –The cumulative measurements are 668 firm-years and are made up of 257 subsamples of underinvestment and 411 sub-samples of overinvestment. This study may find no proof on the moderating effect of diversification on the relation between excellence in financial information and efficiency in investment. In the years 2016 to 2019, our samples are companies listed on the Dhaka Stock Exchange. Findings – The results indicate that financial information reporting quality (both for overinvestment and underinvestment sub-samples) has a positive association with investment performance. Although the evidence is not consistent across sub-samples, the test findings on the relationship between diversification and efficiency of investment appear to indicate a negative and substantial relationship between diversification and efficiency of investment. Research limitations/implications – The study finds no research investigating financial information quality and the productivity of investments. Moreover, it also discusses the regulating consequence for diversification on the correlation concerning financial knowledge and productivity of investment, which has not been examined in current studies as well. Originality/value – This research fills a void in the literature by providing understandings into performs followed by Bangladeshi companies in diversification effects in investment productivity.This study also has major consequences in providing additional proof of the connection between financial information and productivity of investment.
financial expansion,financial information,investment adeptness
https://ijnaa.semnan.ac.ir/article_4659.html
https://ijnaa.semnan.ac.ir/article_4659_9ccd71f1f578ef006929956697b6d16a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Automatic QoS-aware web services composition based on set-cover problem
87
109
EN
Morteza
Khani Dehnoi
Department of Computer Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
Saeed
Araban
Department of Computer Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
10.22075/ijnaa.2021.4664
By definition, web-services composition works on developing merely optimum coordination among a number of available web-services to provide a new composed web-service intended to satisfy some users requirements for which a single web service is not (good) enough. In this article, the formulation of the automatic web-services composition is proposed as several set-cover problems and an approximation algorithm has been exploited to solve them. In proposed method, the web-service composition has been carried out within two main phases, the top-down expansion of the composition tree, and the production of composed service by bottom-up traversal of composition tree. In the first phase, the production of a composition tree (similar to the production of tree in problemsolving by searching) is proposed by starting from the output or post-conditions of the requested service towards its input or pre-conditions. Each node or state of the tree is a set of inputs and/or outputs or conditions, and services as tree edges illustrate the transition from one node to another. In the second phase, finding the path from the leaves of the produced composition tree to the root is considered equal to reaching the output of requested service, and this path specifies the involved services and the composition plan. The requested service input set determines the available leaves of the composition tree. To achieve each non-leaf node of the tree, a set-cover problem is produced and solved using a greedy approximation algorithm. If the production and solving of the set-cover problems continues hierarchically until it reaches the root node, the composition plan and cost of the required composition service will be specified. The main focus of this research is the joint sequential and parallel composition with the aim of producing near-optimal and QoS-aware composed services.
Web Services,Composed Services,Set-cover Problem,Approximation Algorithm
https://ijnaa.semnan.ac.ir/article_4664.html
https://ijnaa.semnan.ac.ir/article_4664_9768c09f62e15bf392531522635c1cf0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A method for analyzing the problem of determining the maximum common fragments of temporal directed tree, that do not change with time
111
118
EN
Ali Rashid
Ibrahim
Department of Applied Mathematics, College of Science University of Anbar, Ramadi, Iraq
10.22075/ijnaa.2021.4671
In this study two actual types of problems are considered and solved: 1) determining the maximum common connected fragment of the T-tree (T-directed tree) which does not change with time; 2) determining all non-isomorphic maximum common connected fragments of the T-tree (T-directed tree) which do not change with time. The choice of the primary study of temporal directed trees and trees is justified by the wide range of their practical applications. Effective methods for their solution are proposed. Examples of the solution of the problem for temporal trees and temporal directed trees are given. It is shown that the experimental estimates of the computational complexity of the solution for problems of the temporal directed trees and the temporal trees.
maximum common fragments,temporal tree,temporal directed tree,methods of solution,graph-dynamics
https://ijnaa.semnan.ac.ir/article_4671.html
https://ijnaa.semnan.ac.ir/article_4671_f0db175ac1a103cde51eb1d106c47aa9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Stability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
119
127
EN
Sabah Hassan
Malih
Department of mathematics, college of Education for pure science (Ibn- AL-Haitham), university of Baghdad, Iraq.
10.22075/ijnaa.2021.4681
In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.
Separable Banach space,pointwise asymptotically nonexpansive random operator,random fixed point
https://ijnaa.semnan.ac.ir/article_4681.html
https://ijnaa.semnan.ac.ir/article_4681_291cfc34f11439151cec240ba6509a9e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Continuity in fundamental locally multiplicative topological algebras
129
141
EN
Ali
Naziri-Kordkandi
Department of Mathematics, Payame Noor University,Iran
ali_naziri@pnu.ac.ir
Ali
Zohri
0000-0001-7829-5599
Department of Mathematics, Payame Noor University,Iran
zohri_a@pnu.ac.ir
Fariba
Ershad
Department of Mathematics, Payame Noor University,Iran
fershad@pnu.ac.ir
Bahman
Yousefi
Department of Mathematics, Payame Noor University,Iran
b_yousefi@pnu.ac.ir
10.22075/ijnaa.2019.13751.1715
Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras.
Keywords: FLM algebra,continuity,spectral radius,spectrum function,homomorphism
https://ijnaa.semnan.ac.ir/article_4685.html
https://ijnaa.semnan.ac.ir/article_4685_4b0e7c7e78241d8d689080868dafd245.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Numerical solution of second order IVP by fuzzy transform method
143
156
EN
Mostafa
Ghobadi
mazandaran university
ghobadi_mostafa90@yahoo.com
Mashallah
Matinfar
Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran.
m.matinfar@umz.ac.ir
Tofigh
Allahviranloo
Faculty of engineering and natural sciences, Bahcesehir university, Istanbul, Turkey.
tofigh.allahviranloo@eng.bau.edu.tr
10.22075/ijnaa.2020.21716.2289
In this paper, we employed fuzzy transforms to present a new method for solving the problem through second-order fuzzy initial value. The advantage of the fuzzy transform method is that, unlike other methods (e.g. high-order fuzzy Taylor series), it does not require any higher-order derivative calculation, thus reducing computational cost. In two examples, the results of the newly proposed method were examined against several conventional methods, indicating the more desirable performance of the new method.
differential equations,Second order initial value problem (IVP),Fuzzy transform method
https://ijnaa.semnan.ac.ir/article_4748.html
https://ijnaa.semnan.ac.ir/article_4748_23a8bb179238aa8ad45a1359a9f1a3fc.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A robust optimization approach for a multi-period location-arc routing problem with time windows: A case study of a bank
157
173
EN
Atefeh
Kahfi
Department of Industrial Engineering, College of Engineering, University of Payame Noor, Tehran, Iran
atefehkahfi2009@gmail.com
Seyed Mohammad
Seyed Hosseini
School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
seyedhosseini@iust.ac.ir
Reza
Tavakkoli-Moghaddam
0000-0002-6757-926X
School of Industrial Engineering, College of Engineering, University of Tehran, P.O. Box: 11155-4563, Tehran, Iran
tavakoli@ut.ac.ir
10.22075/ijnaa.2019.16392.1868
A Location-Arc Routing Problem (LARP) is a practical problem, while a few mathematical programming models have been considered for this problem. In this paper, a mixed non-linear programming model is presented for a multi-period LARP with the time windows under demand uncertainty. The time windows modeling in the arc routing problem is rarely. To the best our knowledge, it is the first time that the robust LARP model is verified and an optimal solution is presented for it. For this purpose, the CPLEX solver is used for solving the treasury location problems of a bank as a case study. These problems are node-based with close nods and can be transformed into arc-based. Therefore, the method LRP and LARP models can be used to solve these problems. The comparing results of the LRP and LARP models prove that the LARP has a better performance regarding timing and optimal solution. Furthermore, comparing the results of deterministic and robust LARP models for this case study shows the validity of the robust optimization approach.
Location-arc routing problem,Time windows,Multi-periods,robust optimization,demand uncertainty
https://ijnaa.semnan.ac.ir/article_4752.html
https://ijnaa.semnan.ac.ir/article_4752_80655ce3cb462e923fb5c55f2c35578f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A credible threat against oil sanctions for Iran
175
178
EN
Abbas
Javadian
Faculty of Physics, Semnan University,
P. O. Box 35195-363, Semnan, Iran.
ajavadian@semnan.ac.ir
10.22075/ijnaa.2020.19232.2068
In this study, we use game theory to analyze the current situation of Iran and the United States as a result of the US withdrawal from the Comprehensive Plan of Action and the imposition of finanancial and oil sanctions on Iran and Iran's resilience to these sanctions. We also present an oil strategy, as a credible threat, that helps Iran to get out of the sanctions.
game theory,politics,JCPOA,Iran,the United States
https://ijnaa.semnan.ac.ir/article_4614.html
https://ijnaa.semnan.ac.ir/article_4614_2e7d95e138482f4a990a04eafc4b9511.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A note on some new Hermite--Hadamard type inequalities for functions whose $n$th derivatives are strongly $eta$-convex
179
187
EN
Seth
Kermausuor
0000-0002-8847-8820
Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
skermausour@alasu.edu
Eze
R
Nwaeze
Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
enwaeze@tuskegee.edu
10.22075/ijnaa.2019.14882.1780
In this paper, we establish some new variants of the Hermite--Hadamard integral type inequalities for functions whose $n$th derivatives in absolute values at certain powers are strongly $eta$-convex.
Hermite--Hadamard type inequality,strongly $eta$-convex functions,H"older's inequality,power mean inequality
https://ijnaa.semnan.ac.ir/article_4755.html
https://ijnaa.semnan.ac.ir/article_4755_4d3346213b133f1bf57d1cad43347c1c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Deep inference: A convolutional neural networks method for parameter recovery of the fractional dynamics
189
201
EN
Nader
Biranvand
Faculty of Sciences, Imam Ali University, Tehran, Iran
nabiranvand@gmail.com
Amir Hossein
Hadian-Rasanan
Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, Iran
amir.h.hadian@gmail.com
Ali
Khalili
Faculty of Engineering, Imam Ali University, Tehran Iran
alikhalili57@yahoo.com
Jamal
Amani Rad
Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, Iran
j.amanirad@gmail.com
10.22075/ijnaa.2021.4757
Parameter recovery of dynamical systems has attracted much attention in recent years. The proposed methods for this purpose can not be used in real-time applications. Besides, little works have been done on the parameter recovery of the fractional dynamics. Therefore, in this paper, a convolutional neural network is proposed for parameter recovery of the fractional dynamics. The presented network can also estimate the uncertainty of the parameter estimation and has perfect robustness for real-time applications.
Convolutional Neural Network,Parameter estimation,Fractional Dynamics,Data driven discove
https://ijnaa.semnan.ac.ir/article_4757.html
https://ijnaa.semnan.ac.ir/article_4757_0fd3eaf2918d8b56e182e4bed2f0ec7e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2020
12
21
On the dynamics of a nonautonomous rational difference equation
203
213
EN
Mohamed Amine
Kerker
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria
a_kerker@yahoo.com
Elbahi
Hadidi
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria
ehadidi71@yahoo.fr
Abdelouahab
Salmi
Laboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria
asalmia@yahoo.com
10.22075/ijnaa.2020.4760
In this paper, we study the following nonautonomous rational difference equation<br /> [<br /> y_{n+1}=frac{alpha_n+y_n}{alpha_n+y_{n-k}},quad n=0,1,...,<br /> ]<br /> where $left{alpha_nright}_{ngeq0}$ is a bounded sequence of positive numbers, $k$ is a positive integer and the initial values $y_{-k},...,y_0$ are positive real numbers. We give sufficient conditions under which the unique equilibrium $bar{y}=1$ is globally asymptotically stable. Furthermore, we establish an oscillation result for positive solutions about the equilibrium point. Our work generalizes and improves earlier results in the literature.
nonautonomous difference equation,global asymptotic stability,oscillation
https://ijnaa.semnan.ac.ir/article_4760.html
https://ijnaa.semnan.ac.ir/article_4760_1b39eb0bf91814dd7663471a40aa4ff8.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Four step hybrid block method for the direct solution of fourth order ordinary differential equations
215
229
EN
Raft
Abdelrahim
Department of Mathematics, College of Art and Sciences-Tabarjal, Jouf University
rafatshaab@yahoo.com
10.22075/ijnaa.2021.4762
This paper proposes a direct four-step implicit hybrid block method for directly solving general fourth-order initial value problems of ordinary differential equations. In deriving this method, the approximate solution in the form of power series is interpolated at four points, i.e $ x_n,,, x_{n+1},,x_{n+2},,x_{n+3} $ while its forth derivative is collocated at all grid points, i.e $ x_n, ,,x_{n+frac{1}{4}},,, x_{n+1} , ,,x_{n+2}, ,,x_{n+frac{5}{2}}, ,,x_{n+3}, ,,x_{n+frac{7}{2}} $ and $ x_{n+4} $ to produce the main continuous schemes. In order to verify the applicability of the new method, the properties of the new method such as local truncation error, zero stability, order and convergence are also established. The performance of the newly developed method is then compared with the existing methods in terms of error by solving the same test problems. The numerical results reveal that the proposed method produces better accuracy than several existing methods when solving the same initial value problems (IVPs) of second order ODEs.
Hybrid block method,Fourth initial value problem,Collocation and Interpolation,Four step
https://ijnaa.semnan.ac.ir/article_4762.html
https://ijnaa.semnan.ac.ir/article_4762_e5801eaa6bc57b99ed26ded6b23c3836.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces
231
244
EN
Jeremiah
N. Ezeora
Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
Chinedu
Izuchukwu
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
izuchukwuc@ukzn.ac.za
Akindele
A. Mebawondu
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
Oluwatosin
Temitope
Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
mewomoo@ukzn.ac.za
10.22075/ijnaa.2021.4775
In this paper, we prove some fixed points properties and demiclosedness principle for mean nonexpansive mapping in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating a common fixed point of two mean nonexpansive mappings and establish some strong and $bigtriangleup$-convergence theorems for these mappings in uniformly convex hyperbolic spaces. The results obtained in this paper extend and generalize corresponding results in uniformly convex Banach spaces, CAT(0) spaces and other related results in literature.
Mean nonexpansive mappings,uniformly convex hyperbolic spaces,strong and $bigtriangleup$-convergence theorem,three step iteration
https://ijnaa.semnan.ac.ir/article_4775.html
https://ijnaa.semnan.ac.ir/article_4775_52dda3801cca237cd8cab6d74750ae31.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Some fixed point theorems for $alpha_{*}$-$psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations
245
260
EN
Farzaneh
Lotfy
Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran
Jalal
Hassanzadeh Asl
0000-0001-8978-6030
Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran
jalal.hasanzadeh172@gmail.com
Hassan
Refaghat
Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran
10.22075/ijnaa.2021.4776
Recently Hamed H Alsulami et al introduced the notion of<br /> ($alpha$-$psi$)-rational type contractive mappings. They have been<br /> establish some fixed point theorems for the mappings in complete<br /> generalized metric spaces. In this paper, we introduce the notion<br /> of some fixed points theorems for $alpha_{*}$-$psi$-common<br /> rational type mappings on generalized metric spaces with application<br /> to fractional integral equations and give a common fixed point<br /> result about fixed points of the<br /> set-valued mappings.
Fixed points,$alpha_{*}$-common admissible,$alpha_{*}$-$psi$-common rational type contractive,Partially ordered set,Generalized metric spaces,Weakly increasing,Fractional integral equations
https://ijnaa.semnan.ac.ir/article_4776.html
https://ijnaa.semnan.ac.ir/article_4776_20aa9cd39c80d9a1552afedb2cbe6685.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
An effective algorithm to solve option pricing problems
261
271
EN
Mojtaba
Moradipour
Department of Mathematics, Lorestan University, Khorramabad, Iran
moradipour.mo@lu.ac.ir
10.22075/ijnaa.2021.4782
We are aimed to develop a fast and direct algorithm to solve linear complementarity problems (LCP's) arising from option pricing problems. We discretize the free boundary problem of American options in temporal direction and obtain a sequence of linear complementarity problems (LCP's) in the finite dimensional Euclidian space $mathbb{R}^m$. We develop a fast and direct algorithm based on the active set strategy to solve the LCP's. The active set strategy in general needs $O(2^m m^3)$ operations to solve $m$ dimensional LCP's. Using Thomas algorithm, we develop an algorithm with order of complexity $O(m)$ which can extremely speed up the computations.
American options,variational inequalities,linear complementarity problems
https://ijnaa.semnan.ac.ir/article_4782.html
https://ijnaa.semnan.ac.ir/article_4782_29d13b4a8016fe2587deba487d223462.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On certain properties for new subclass of meromorphic starlike functions
273
285
EN
Sirous
Moradi
Department of Mathematics, Faculty of science, Lorestan University, 68151-4-4316, Khorramabad, Iran
moradi.s@lu.ac.ir
Mohammad
Taati
Department of Mathematics, Faculty of science, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
m_taati@pnu.ac.ir
10.22075/ijnaa.2021.4783
In this paper we studying some properties of starlike function of order $lambda$ which satisfy in the condition<br /> $$Re(frac{zf^{'}(z)}{f(z)}+alphafrac{z^{2}f^{''}(z)}{f(z)})<1-lambda+alpha$$<br /> \for all $zin U={z:|z|<1}$, where $f(z)=1+sum_{k=1}^infty a_{k}z^{k}$ is analytic in $U$, $0leqslantalpha<2$ and $0leqslantlambda<1$. Our results extend previos results given by Aghalary et al. (2009) and Wang et al.(2014).
Starlike function,Meromorphic function,Hadamard product,Analytic function
https://ijnaa.semnan.ac.ir/article_4783.html
https://ijnaa.semnan.ac.ir/article_4783_9e77a5a8c782a524897a3c266d8ab3ce.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A generalization of Darbo's theorem with application to the solvability of systems of integral-differential equations in Sobolev spaces
287
300
EN
Hojjatollah
Amiri Kayvanloo
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Mahnaz
Khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
mkhanehgir@gmail.com
Reza
Allahyari
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
rezaallahyari@mshdiau.ac.ir
10.22075/ijnaa.2021.4784
In this article, we introduce the notion of $(alpha,beta)$-generalized Meir-Keeler condensing operator in a Banach space, a characterization using strictly L-functions and provide an extension of Darbo's fixed point theorem associated with measures of noncompactness. Then, we establish some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. As an application, we study the problem of existence of entire solutions for a general system of nonlinear integral-differential equations in a Sobolev space. Further, an example is presented to verify the effectiveness and applicability of our main results.
Coupled fixed points,Measure of noncompactness,Meir-Keleer condensing operator,Sobolev space,System of integral equations
https://ijnaa.semnan.ac.ir/article_4784.html
https://ijnaa.semnan.ac.ir/article_4784_690b0b82e08a2f61e248755fad00d3bc.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On the efficient of adaptive methods to solve nonlinear equations
301
316
EN
Vali
Torkashvand
0000-0001-8033-8279
Young Researchers and Elite Club, Shahr-e-Qods Branch, Islamic Azad University Tehran Iran
vali_torkashvand@yahoo.com
Reza
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
ezati@kiau.ac.ir
10.22075/ijnaa.2021.4799
The main goal of this work, obtaining a family of Steffensen-type iterative methods adaptive with memory for solving nonlinear equations, which uses three self-accelerating parameters. For this aim, we present a new scheme to construct the self-accelerating parameters and obtain a family of Steffensen-type iterative methods with memory. The self-accelerating parameters have the properties of simple structure and easy calculation, which do not increase the computational cost of the iterative methods. The convergence order of the new iterative methods has increased from 4 to 8. Also, these methods possess very high computational efficiency. Another advantage of the new method is that they remove the severe condition $f'(x)$ in a neighborhood of the required root imposed on Newton's method. Numerical comparisons have made to show the performance of the proposed methods, as shown in the illustrative examples.
Nonlinear equations,Newton's interpolatory polynomial,Adaptive method with memory,The order of convergence,Self accelerating parameter
https://ijnaa.semnan.ac.ir/article_4799.html
https://ijnaa.semnan.ac.ir/article_4799_2486d12e3e7c80f0885a4c92cac99308.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Positive solutions for fractional-order nonlinear boundary value problems on infinite interval
317
335
EN
Ilkay
Yaslan Karaca
Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey
ilkay.karaca@ege.edu.tr
Dondu
Oz
Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey
dondu.oz@ege.edu.tr
10.22075/ijnaa.2021.4800
In this paper, Avery-Henderson (Double) fixed point theorem and Ren fixed point theorem are used to investigate the existence of positive solutions for fractional-order nonlinear boundary value problems on infinite interval. As applications, some examples are given to illustrate the main results.
Fractional differential equations,boundary value problem,fixed point theorems,Infinite interval,positive solutions
https://ijnaa.semnan.ac.ir/article_4800.html
https://ijnaa.semnan.ac.ir/article_4800_e83c81a1eb100dd3f6a255886f3cfffc.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Multi-point boundary value problems of higher-order nonlinear fractional differential equations
337
349
EN
İsmail
Yaslan
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
iyaslan@pau.edu.tr
10.22075/ijnaa.2021.4803
We investigate the existence and uniqueness of solutions for multi-point nonlocal boundary value problems of higher-order nonlinear fractional differential equations by using some well known fixed point theorems.
Boundary value problems,Fractional derivative,Fixed point theorems
https://ijnaa.semnan.ac.ir/article_4803.html
https://ijnaa.semnan.ac.ir/article_4803_4511ae2fc43f0aad4317468f381170c6.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Comparative analysis of parallel algorithms for solving oil recovery problem using CUDA and OpenCL
351
364
EN
Timur
Imankulov
Yessenov University, Aktau, Kazakhstan
imankulov_ts@mail.ru
Beimbet
Daribayev
Al-Farabi Kazakh National University, Almaty, Kazakhstan
beimbet.daribayev@gmail.com
Saltanbek
Mukhambetzhanov
Al-Farabi Kazakh National University
mukhambetzhanov_@mail.ru
10.22075/ijnaa.2021.4809
In this paper the implementation of parallel algorithm of alternating direction implicit (ADI) method has been considered. ADI parallel algorithm is used to solve a multiphase multicomponent fluid flow problem in porous media. There are various technologies for implementing parallel algorithms on the CPU and GPU for solving hydrodynamic problems. In this paper GPU-based (graphic processor unit) algorithm was used. To implement the GPU-based parallel ADI method, CUDA and OpenCL were used. ADI is an iterative method used to solve matrix equations. To solve the tridiagonal system of equations in ADI method, the parallel version of cyclic reduction (CR) method was implemented. The cyclic reduction is a method for solving linear equations by repeatedly splitting a problem as a Thomas method. To implement of a sequential algorithm for solving the oil recovery problem, the implicit Thomas method was used. Thomas method or tridiagonal matrix algorithm is used to solve tridiagonal systems of equations. To test parallel algorithms personal computer installed Nvidia RTX 2080 graphic card with 8 GB of video memory was used. The computing results of parallel algorithms using CUDA and OpenCL were compared and analyzed. The main purpose of this research work is a comparative analysis of the parallel algorithm computing results on different technologies, in order to show the advantages and disadvantages each of CUDA and OpenCL for solving oil recovery problems.
CUDA,OpenCL,Cyclic Reduction,ADI,Oil Recovery Problem
https://ijnaa.semnan.ac.ir/article_4809.html
https://ijnaa.semnan.ac.ir/article_4809_c9b04249a27c7bd88c4f470a764ae938.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Stable numerical solution of an inverse coefficient problem for a time fractional reaction-diffusion equation
365
383
EN
Afshin
Babaei
0000-0002-6980-9786
Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, P.O. Box: 47416-95447, Babolsar, Iran.
babaei@umz.ac.ir
Seddigheh
Banihashemi
Department of Applied Mathematics, University of Mazandaran, P.O. Box: 47416-95447, Babolsar, Iran
Javad
Damirchi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
damirchi@iust.ac.ir
10.22075/ijnaa.2021.4810
In this paper, an inverse problem of determining an unknown reaction coefficient in a one-dimensional time-fractional reaction-diffusion equation is considered. This inverse problem is generally ill-posed. For this reason, the mollification regularization technique with the generalized cross-validation criteria will be employed to find an equivalent stable problem. Afterward, a finite difference marching scheme is introduced to solve this regularized problem. The stability and convergence of the numerical solution are investigated. In the end, some numerical examples are presented to verify the ability and effectiveness of the proposed algorithm.
Inverse problem,Time fractional reaction-diffusion equation,Caputo's fractional derivative,Mollification,Marching scheme
https://ijnaa.semnan.ac.ir/article_4810.html
https://ijnaa.semnan.ac.ir/article_4810_90e09995a95326704ffd3e3a9f412293.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A new approach for solution of telegraph equation
385
396
EN
Mohammad
Zarebnia
Department of Mathematics, University of Mohaghegh Ardabili,
56199-11367 Ardabil, Iran
zarebnia@uma.ac.ir
Reza
Parvaz
Department of Mathematics, University of Mohaghegh Ardabili,
56199-11367 Ardabil, Iran
rparvaz@uma.ac.ir
10.22075/ijnaa.2021.4811
In this paper, B-spline collocation method is developed for the solution of one-dimensional hyperbolic telegraph equation. The convergence of the method is proved. Also the method is applied on some test examples and the numerical results have been compared with the analytical solutions. The $L_infty$,$L_2$ and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally.
Telegraph equation,Collocation method,Convergence
https://ijnaa.semnan.ac.ir/article_4811.html
https://ijnaa.semnan.ac.ir/article_4811_447de8367d33681e105770b963322895.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On $J$-class $C_0$-semigroups of operators
397
403
EN
Mohammad
Janfada
Department of Pure Mathematics, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran
janfada@um.ac.ir
Abolfazl
Nezhadali Baghan
Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran
nejadali.2000@yahoo.com
10.22075/ijnaa.2021.4812
In this paper, locally topologically transitive (or J-class) $C_0$-semigroups of operators on Banach spaces are studied. Some similarity and differences of locally transitivity and hypercyclicity of $C_0$-semigroups are investigated. Next the Kato's limit of a sequence of $C_0$-semigroups are considered and their locally transitivity relations are studied.
Hypercyclic $C_0$-semigroup,J-class $C_0$-semigroup,approximation in the sense of Kato
https://ijnaa.semnan.ac.ir/article_4812.html
https://ijnaa.semnan.ac.ir/article_4812_47a04f86d42c188bb9fe67c0af8f9756.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Existence Theory for Higher-Order Nonlinear Ordinary Differential Equations with Nonlocal Stieltjes Boundary Conditions
405
417
EN
Bashir
Ahmad
0000-0001-5350-2977
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
bashirahmad_qau@yahoo.com
Ahmed
Alsaedi
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
aalsaedi@hotmail.com
Nada
Al-Malki
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
mass_nana@hotmail.com
10.22075/ijnaa.2021.4813
In this paper, we develop the existence theory for some boundary value problems of nonlinear $nth$-order ordinary differential equations supplemented with nonlocal Stieltjes boundary conditions. Our results are based on some standard theorems of fixed point theory and are well illustrated with the aid of examples.
higher-order differential equations, Stieltjes,nonlocal boundary conditions,fixed point
https://ijnaa.semnan.ac.ir/article_4813.html
https://ijnaa.semnan.ac.ir/article_4813_af96677d1c9a565b6fa37d6010540ac0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
The effect of changes in sealing wall and horizontal drainage of Golfaraj dam on the values of lifting pressure parameters and maximum outlet gradient
419
432
EN
Kambiz
Mashkabadi
Civil Engineering of Geotechnics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
Yousef
Zandi
Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
zandi@iaut.ac.ir
10.22075/ijnaa.2021.4815
Dams are always considered as infrastructure structures and have vital value. An earthen dam is a body consisting of discontinuous soil particles of various sizes that need to be placed in front of a stream of water to store it. As water is stored behind the dam and its surface area increases, the potential energy of the water particles increases and due to its porous nature, it begins to move in it. Today, the main problem that has attracted the attention of engineers is the issue of seepage.<br /> So that the presence of seepage in earthen dams is inevitable. The aim of the present study was to investigate the different positions of the sealing wall and to select the best angle, length, number and distance, as well as to select the appropriate length for horizontal drainage <br /><br /> Due to the geotechnical conditions, it is against the phenomenon of rug and lifting force. GeoStudio software is a collection of soil mechanics software based on finite element method through which various modellings and analyzes can be examined. This software includes various models such as SEEP / W which is used for flow analysis and seepage. In the present study, the SEEP / W model of this software package has been used. The SEEP / W model is based on the Darcy relation, which expresses the passage of water flow through the soil in both saturated and unsaturated states.<br /> The results showed that for the sealing wall located above the core, an angle of 20 degrees and for the sealing wall located downstream of the core, an angle of 100 degrees are suitable. Also, the optimal length of the sealing wall is 24 meters and its optimal number is 2. Increasing the distance between the two vertical sealing walls has increased the lifting pressure and reduced the maximum outlet gradient. Increasing the horizontal drainage length reduced the maximum output gradient, while having little effect on the uplift pressure.
Leakage,sealing wall,horizontal drainage,Golfaraj Dam,SEEP / W
https://ijnaa.semnan.ac.ir/article_4815.html
https://ijnaa.semnan.ac.ir/article_4815_a02900205779e71570df4a951fc5a3e4.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Stochastic approach for noise analysis and parameter estimation for RC and RLC electrical circuits
433
444
EN
Parisa
Nabati
Faculty of Science, Urmia University of Technology, Urmia, Iran
p.nabati@uut.ac.ir
Rahman
Farnoosh
Faculty of Mathematics, Iran University of Science and Technology, Tehran, Iran
10.22075/ijnaa.2021.4820
The main focus of this paper is to examine the effects of Gaussian white noise and Gaussian colored noise perturbations on the voltage of RC and RLC electrical circuits. For this purpose, the input voltage is assumed to be corrupted by the white noise and the charge is observed at discrete time points. The deterministic models will be transferred to stochastic differential equations and these models will be solved analytically using Ito's lemma. Random colored noise excitations, more close to real environmental excitations, so Gaussian colored noise is considered in these electrical circuits. Scince there is not always a closed form analytical solution for stochastic differential equations, then these models will be solved numerically based on the Euler- maruyama scheme. The parameter estimation for these stochastic models is investigated using the least square estimator when the parameters are missing data that it is a concern in electrical engeineering. Finally, some numerical simulations via Matlab programming are carried out in order to show the efficiency and accuracy of the present work.
Stochastic differential equation,Gaussian white noise,Gaussian colored noise,Simulation,Electrical circuits,Parameter estimation
https://ijnaa.semnan.ac.ir/article_4820.html
https://ijnaa.semnan.ac.ir/article_4820_471c1a66b3a88830befae95949607263.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A modified optimization method for optimal control problems of continuous stirred tank reactor
445
459
EN
Mitra
Salimi
Department of Mathematics, Payame Noor University, Tehran, P.O. Box. 19395-3697, Iran
salimi2012a@gmail.com
Akbar
Hashemi Borzabadi
Department of Applied Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran
akbar.h.borzabadi@gmail.com
Seyed Hamed
Hashemi Mehne
0000-0002-3659-0992
Department of Avionics, Aerospace Research Institute, Tehran, 14665-834, Iran
hmehne@ari.ac.ir
Aghileh
Heydari
Department of Mathematics, Payame Noor University, Tehran, P.O. Box. 19395-3697, Iran
a_heidari@pnu.ac.ir
10.22075/ijnaa.2021.4823
Continuous stirred tank reactor (CSTR) is an important and constructive part in various chemical and process industries and therefore it is necessary to control the process in optimal temperature and concentration conditions. Because of the nonlinear nature and limits of the control input, solving this problem is very difficult. To achieve a sub-optimal control policy for chemical processes, we focused on a new construction model. Then, a two-phase algorithm, denoted as modified sequential general variable neighborhood search (MSGVNS) algorithm based on three local searches that use efficient neighborhood interchange has been employed to solve CSTR problems numerically. The results of the proposed method show that its convergence to the exact solution is achieved by the accuracy comparable to other numerical algorithms in few times.
Optimal control problem,Metaheuristic,Continuous stirred tank reactor,Modified general variable neighborhood search
https://ijnaa.semnan.ac.ir/article_4823.html
https://ijnaa.semnan.ac.ir/article_4823_7d627c9fd5e0da83d23591968bf53ad7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
E-Bayesian estimation of parameters of inverse Weibull distribution based on a unified hybrid censoring scheme
461
472
EN
Shahram
Yaghoubzadeh Shahrestani
Department of Statistics, Payame Noor University, P. O. Box 19395-4697, Tehran, Iran
yagoubzade@gmail.com
Reza
Zarei
Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
r.zarei@guilan.ac.ir
Parviz
Malekzadeh
Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
pmalekzadeh@semnan.ac.ir
10.22075/ijnaa.2021.4825
The combination of generalization Type-I hybrid censoring and generalization Type-II hybrid censoring schemes create a new censoring called a unified hybrid censoring scheme. Therefore, in this study, the E-Bayesian estimation of parameters of the inverse Weibull distribution is obtained under the unified hybrid censoring scheme, and the efficiency of the proposed method was compared with the Bayesian estimator using Monte Carlo simulation and a real data set.
E-Bayesian estimation,Unified hybrid censoring scheme,Inverse Weibull distribution,LINEX loss function
https://ijnaa.semnan.ac.ir/article_4825.html
https://ijnaa.semnan.ac.ir/article_4825_10f89980fb858926b68a8c0b734deadf.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
The arrow domination in graphs
473
480
EN
Suha
Jaber
Radhi
Department of Mathematics, College of Education for Pure Sciences,
University of Thi-Qar, Thi-Qar, Iraq
alhsynn436@gmail.com
Mohammed
A. Abdlhusein
Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
mmhd@utq.edu.iq
Ayed
Elayose
Hashoosh
Department of Mathematics, College of Education for Pure Sciences,
University of Thi-Qar, Thi-Qar, Iraq
ayed.hashoosh@utq.edu.iq
10.22075/ijnaa.2021.4826
The arrow domination is introduced in this paper with its inverse as a new type of domination. Let $G$ be a finite graph, undirected, simple and has no isolated vertex, a set $D$ of $V(G)$ is said an arrow dominating set if $|N(w)cap (V-D)|=i$ and $|N(w)cap D|geq j$ for every $w in D$ such that $i$ and $j$ are two non-equal positive integers. The arrow domination number $gamma_{ar}(G)$ is the minimum cardinality over all arrow dominating sets in $G$. Essential properties and bounds of arrow domination and its inverse when $i=1$ and $j=2$ are proved. Then, arrow domination number is discussed for several standard graphs and other graphs that formed by join and corona operations.
Dominating set,Arrow dominating set,Arrow domination number
https://ijnaa.semnan.ac.ir/article_4826.html
https://ijnaa.semnan.ac.ir/article_4826_42c285f3e89b71c3d8bd1ca05f9add6e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Solution of a generalized two dimensional fractional integral equation
481
492
EN
Dipankar
Saha
Department of Mathematics, National Institute of Technology Silchar, India
nayan0507@gmail.com
Mausumi
Sen
Department of Mathematics, National Institute of Technology Silchar, India
senmausumi@gmail.com
10.22075/ijnaa.2021.4827
This paper deals with existence and local attractivity of solution of a quadratic fractional integral equation in two independent variables. The solution space has been considered to be the Banach space of all bounded continuous functions defined on an unbounded interval. The fundamental tool used for the purpose is the notion of noncompactness and the celebrated Schauder fixed point principle. Finally an example has been provided at the end in support of the result.
Fractional integral equation,Measure of noncompactness,Solution
https://ijnaa.semnan.ac.ir/article_4827.html
https://ijnaa.semnan.ac.ir/article_4827_8bfb185f0866fecd035d012db71219f2.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
An overview of Bayesian prediction of future record statistics using upper record ranked set sampling scheme
493
507
EN
Ehsan
Golzade Gervi
Department of Statistics, University of Payame Noor, 19395-4697 Tehran, Iran
e_golzade_g@yahoo.com
Parviz
Nasiri
Department of Statistics, University of Payame Noor, 19395-4697 Tehran, Iran
pnasiri45@yahoo.com
Mahdi
Salehi
Department of Mathematics and Statistics, University of Neyshabur, Neyshabur, Iran
salehi2sms@gmail.com
10.22075/ijnaa.2021.4828
Two sample prediction is considered for a one-parameter exponential distribution. In practical experiments using sampling methods based on different schemes is crucial. This paper addresses the problem of Bayesian prediction of record values from a future sequence, based on an upper record ranked set sampling scheme. First, under an upper record ranked set sample (RRSS) and different values of hyperparameters, point predictions have been studied with respect to both symmetric and asymmetric loss functions. These predictors are compared in the sense of their mean squared prediction errors. Next, we have derived two prediction intervals for future record values. Prediction intervals are compared in terms of coverage probability and expected length. Finally, a simulation study is performed to compare the performances of the predictors. The real data set is also analyzed for an illustration of the findings.
record values,Prediction,Mean squared prediction error,Loss function,Coverage probability,Record ranked set sampling scheme
https://ijnaa.semnan.ac.ir/article_4828.html
https://ijnaa.semnan.ac.ir/article_4828_69671730b85097e24b6c7ee1be255c3c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On the $Phi$-reflexive property of $(X,Upsilon)$-structures
509
519
EN
Akbar
Dehghanezhad
School of Mathematics, Iran University of Science and Technology,
Narmak, 16846-13114, Tehran, Iran
dehghannezhad@iust.ac.ir
Saman
Shahriyari
Department of Mathematics, Yazd University, 89195-741, Yazd, Iran
s.shahriyari@stu.yazd.ac.ir
10.22075/ijnaa.2021.4829
We use $Phi$-reflexive property on some geometrical structures(Fr"{o}licher spaces, Sikorski spaces and diffeological spaces) to prove that some results on $(X,Upsilon)$-structures. Finally, we introduce $mathcal{P}$-tangent bundles, $mathcal{F}$-tangent bundles and obtain a relation between these bundles and $Phi$-reflexive property.
$\Phi$-reflexive property,differential space,diffeology,$\mathcal{P}$-tangent bundle,$\mathcal{F}$-tangent bundle
https://ijnaa.semnan.ac.ir/article_4829.html
https://ijnaa.semnan.ac.ir/article_4829_f1ca842346574a91f82c113b120dd77d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents
521
532
EN
Mohamed
Ousbika
Oriental applied mathematics laboratory, FS Oujda, Team of Modeling and Scientific Computing, FP Nador, University Mohammed 1, Morocco.
nizarousbika@gmail.com
Zakaria
El Allali
Oriental applied mathematics laboratory, FS Oujda, Team of Modeling and Scientific Computing, FP Nador, University Mohammed 1, Morocco.
elallali@hotmail.com
10.22075/ijnaa.2021.4834
In this paper, we determine the different intervals of a positive parameters $lambda$, for which we prove the existence and non existence of a non trivial solutions for the discrete problem (1.1). Our technical approach is based on the variational principle and the critical point theory.
Discrete boundary value problem,Anisotropic problem,Critical point theory,Eigenvalue
https://ijnaa.semnan.ac.ir/article_4834.html
https://ijnaa.semnan.ac.ir/article_4834_e97a56742c59782f17b3392f6e4b118b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Stability of fuzzy orthogonally $*$-$n$-derivation in orthogonally fuzzy $C^*$-algebras
533
540
EN
Najmeh
Ansari
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Mohammad Hadi
Hooshmand
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
hooshmand@iaushiraz.ac.ir
Madjid
Eshaghi Gordji
Department of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran
meshaghi@semnan.ac.ir
Khadijeh
Jahedi
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
mjahedi80@yahoo.com
10.22075/ijnaa.2021.4835
In this paper, using fixed point methods, we prove the fuzzy orthogonally $*$-$n$-derivation on orthogonally fuzzy $C^*$-algebra for the functional equation
begin{align*}
begin{split}
f(frac{mu x+mu y}{2}+mu w)+f(frac{mu x+mu w}{2}+mu y)+f(frac{mu y+mu w}{2}+mu x)
=2mu f(x)-2mu f(y)-2mu f(w).
end{split}
end{align*}
Stability,Fixed point approach,$*$-$n$-derivation, Fuzzy $C^*$-algebra
https://ijnaa.semnan.ac.ir/article_4835.html
https://ijnaa.semnan.ac.ir/article_4835_5fe9c263665a90af44bd19ed27262b3a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Gr$ddot{u}$ss type integral inequalities for a new class of $k$-fractional integrals
541
554
EN
Sidra
Habib
Department of Mathematics, G.C. University Faisalabad, Faisalabad, Pakistan
sidrahabib1605@gmail.com
Ghulam
Farid
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
faridphdsms@hotmail.com
Shahid
Mubeen
0000-0002-7815-8516
Department of Mathematics, University of Sargodha, Sargodha, Pakistan
smjhanda@gmail.com
10.22075/ijnaa.2021.4836
The main aim of this research article is to present the generalized $k$-fractional conformable integrals and an improved version of Gr$ddot{u}$ss integral inequality via the fractional conformable integral in status of a new parameter $k>0$. Here for establishing Gr$ddot{u}$ss inequality in fractional calculus the classical method of proof has been adopted also related results with Gr$ddot{u}$ss inequality have been discussed. This work contributes in the current research by providing mathematical results along with their verifications.<br />
$k$-fractional conformable integrals,Fractional integral inequalities,Gr$ddot{u}$ss inequality
https://ijnaa.semnan.ac.ir/article_4836.html
https://ijnaa.semnan.ac.ir/article_4836_e15ed148378446840ed274c79f679db6.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Numerical approach for reconstructing an unknown source function in inverse parabolic problem
555
566
EN
Javad
Damirchi
Department of Mathematics, Semnan University, Semnan, Iran
damirchi@semnan.ac.ir
Ali
Janmohammadi
Department of Mathematics, Semnan University, Semnan, Iran.
janmohammadiali@semnan.ac.ir
Masoud
Hasanpour
Department of Mathematics, Semnan University, Semnan, Iran.
masoud.hasanpour@semnan.ac.ir
Reza
Memarbashi
Department of Mathematics, Semnan University, Semnan, Iran.
r.memarbashi@semnan.ac.ir
10.22075/ijnaa.2021.4838
The inverse problem considered in this paper is devoted to reconstruction of the unknown source term in parabolic equation from additional information which is given by measurements at final time. The cost functional is introduced and existence of the minimizer for this functional is established. The numerical algorithm to solve the inverse problem is based on the Ritz-Galerkin method with shifted Legendre polynomials as basis functions. Finally, some numerical results are presented to demonstrate the accuracy and efficiency of the proposed method for test example.
Inverse source Problem,Cost Functional,Ill-Posed Problem,Regularization Method,Ritz-Galerkin Method
https://ijnaa.semnan.ac.ir/article_4838.html
https://ijnaa.semnan.ac.ir/article_4838_496e4e6a073741055c55d2a744122094.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On starlike functions related with the convex conic domain
567
573
EN
Rahim
Kargar
Department of Mathematics and Statistics, University of Turku, Turku, Finland
rkargar1983@gmail.com
Janusz
Sokol
University of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35-310 Rzeszow, Poland
jsokol@ur.edu.pl
10.22075/ijnaa.2021.4839
In the present paper, we study a new subclass $mathcal{M}_p(alpha,beta)$ of $p$--valent functions and obtain some inequalities concerning the coefficients for the desired class. Also, by using the Hadamard product, we define a new general operator and find a condition such that it belongs to the class $mathcal{M}_p(alpha,beta)$.
Analytic functions,$p$--valent functions,Generalized Bessel function,Gaussian hypergeometric function,Hadamard product
https://ijnaa.semnan.ac.ir/article_4839.html
https://ijnaa.semnan.ac.ir/article_4839_690dc5fcd2c073f0de54ca5ddda44681.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On the system of double equations with three unknowns $d+ay+bx+cx^2=z^2 , y+z=x^2$
575
581
EN
Mayilrangam
Gopalan
Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India
mayilgopalan@gmail.com
Aarthy
Thangam
Department of Mathematics, Shrimati Indira Gandhi College, Trichy-620 002, Tamil Nadu, India
aarthythangam@gmail.com
Ozen
Ozer
Department of Mathematics, Faculty of Science and Arts, Kirklareli University, 39100, Kirklareli, Turkey
ozenozer39@gmail.com
10.22075/ijnaa.2021.4840
The system of double equations with three unknowns given by $d+ay+bx+cx^2=z^2 , y+z=x^2$ is analysed for its infinitely many non-zero distinct integer solutions. Different sets of integer solutions have been presented. A few interesting relations among the solutions are given.
System of double equations,Pair of equations with three unknowns,Integer solutions,Pell Equations,Special Numbers
https://ijnaa.semnan.ac.ir/article_4840.html
https://ijnaa.semnan.ac.ir/article_4840_2a545748e3856e524f51432113394a15.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Existence of solutions of system of functional-integral equations using measure of noncompactness
583
595
EN
Hemant
Kumar
Nashine
0000-0002-0250-9172
Department of Mathematics,
School of Advanced Sciences,
Vellore Institute of Technology,
Vellore-632014, TN, INDIA
drhknashine@gmail.com
Reza
Arab
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
mathreza.arab@iausari.ac.ir
Ravi
Agarwal
Department of Mathematics, Texas A \& M University - Kingsville - 78363-8202, Texas, USA
agarwal@tamuk.edu
10.22075/ijnaa.2021.4847
We propose to investigate the solutions of system of functional-integral equations in the setting of measure of noncompactness on real-valued bounded and continuous Banach space. To achieve this, we first establish some new Darbo type fixed and coupled fixed point results for $mu$-set $(omega,vartheta)$-contraction operator using arbitrary measure of noncompactness in Banach spaces. An example is given in support for the solutions of a pair of system of functional-integral equations.
Fixed point,Coupled fixed point,Measure of noncompactness,Functional-integral equations
https://ijnaa.semnan.ac.ir/article_4847.html
https://ijnaa.semnan.ac.ir/article_4847_3ef2e986f8037f28dfd9791dcb68dbd1.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Ciric type multi-valued $alpha _{ast }$-$eta _{ast }$-$theta $-contractions on b-metric spaces with applications
597
614
EN
Eskandar
Ameer
Department of Mathematics, Taiz University, Taiz, Yemen
eskandarameer@yahoo.com
Hassen
Aydi
University of Dammam, Department of Mathematics. College of Education of Jubail,
P.O: 12020, Industrial Jubail 31961. Saudi Arabia
hmaydi@uod.edu.sa
Muhammad
Arshad
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan
marshadzia@iiu.edu.pk
Aftab
Hussain
Department of Mathematics, Faculty of Natural Sciences, Centre for Mathematical Research, Khawaja Fareed University
of Engineering and Information Technology Rahim Yar Khan, Pakistan
aftabshh@gmail.com
Abdul
rahim
Khan
Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
arahim@kfupm.edu.sa
10.22075/ijnaa.2021.4865
In this paper, we give sufficient conditions for the existence of solutions of a system of Volterra-type integral inclusion equations using new sort of multi-valued contractions, named as generalized multi-valued $alpha _{ast} $-$eta _{ast }$-$theta $-contractions defined on $alpha $-complete b-metric spaces. We give its relevance to fixed point results. We set up an example to elucidate our main results.
Fixed point,$alpha$-complete b-metric space,$alpha$-continuous multi-valued mappings,triangular $alpha$-orbital admissible, generalized multi-valued $alpha_{ast }$-$eta_{ast }$-$theta$-contractions.
https://ijnaa.semnan.ac.ir/article_4865.html
https://ijnaa.semnan.ac.ir/article_4865_c6adb98b142ca002cb71478968176010.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On generalized $Phi$-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type
615
632
EN
Mathew
O.
Aibinu
0000-0003-4901-1440
Institute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban, South Africa
moaibinu@yahoo.com
Oluwatosin
T.
Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
mewomo@ukzn.ac.za
10.22075/ijnaa.2021.4866
In this paper, we consider the class of generalized $Phi$-strongly monotone mappings and the methods of approximating a solution of equations of Hammerstein type. Auxiliary mapping is defined for nonlinear integral equations of Hammerstein type. The auxiliary mapping is the composition of bounded generalized $Phi$-strongly monotone mappings which satisfy the range condition. Suitable conditions are imposed to obtain the boundedness and to show that the auxiliary mapping is a generalized $Phi$-strongly which satisfies the range condition. A sequence is constructed and it is shown that it converges strongly to a solution of equations of Hammerstein type. The results in this paper improve and extend some recent corresponding results on the approximation of a solution of equations of Hammerstein type.
Generalized ${\Phi}$-strongly monotone,Hammerstein equation,Strong convergence
https://ijnaa.semnan.ac.ir/article_4866.html
https://ijnaa.semnan.ac.ir/article_4866_ad5d2a21a89586ae81e2b41701e58659.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Investigating the dynamics of Lotka$-$Volterra model with disease in the prey and predator species
633
648
EN
Atena
Ghasemabadi
Esfarayen University of Technology, Esfarayen, North Khorasan, Iran
ghasemabadi.math@gmail.com
Mohammad Hossien
Rahmani Doust
Department of Mathematics, University of Neyshabur, Adib BLVD, Neyshabur, Iran
mh.rahmanidoust@gmail.com
10.22075/ijnaa.2021.4867
In this paper, a predator$-$prey model with logistic growth rate in the prey population was proposed. It included an SIS infection in the prey and predator population. The stability of the positive equilibrium point, the existence of Hopf and transcortical bifurcation with parameter $a$ were investigated, where $a$ was regarded as predation rate. It was found that when the parameter $a$ passed through a critical value, stability changed and Hopf bifurcation occurred. Biologically, the population is positive and bounded. In the present article, it was also shown that the model was bounded and that it had the positive solution. Moreover, the current researchers came to the conclusion that although the disease was present in the system, none of the species would be extinct. In other words, the system was persistent. Important thresholds, $R_{0}, R_{1}$ and $R_{2}$, were identified in the study. This theoretical study indicated that under certain conditions of $R_{0}, R_{1}$ and $R_{2}$, the disease remained in the system or disappeared.
Differential Equations,Threshold,Prey$-$Predator Model,Global Stability,SIS Disease
https://ijnaa.semnan.ac.ir/article_4867.html
https://ijnaa.semnan.ac.ir/article_4867_4831f3112817a66f9e558b0b7d401125.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials
649
668
EN
Souhila
Boughaba
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
souhilaboughaba@gmail.com
Nabiha
Saba
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
sabarnhf1994@gmail.com
Ali
Boussayoud
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.
aboussayoud@yahoo.fr
10.22075/ijnaa.2021.4868
In the present paper, we introduce the recurrence relations of Vieta Fibonacci, Vieta Lucas, Vieta Pell and Vieta Pell Lucas polynomials. We obtain the generating functions of these polynomials, then we give the new generating functions of the products of these polynomials and the products of these polynomials with Gaussian numbers and polynomials. These results are based on the relation between Vieta polynomials and Chebyshev polynomials of first and second kinds.
Generating functions,Vieta Fibonacci polynomials,Vieta Lucas polynomials,Vieta Pell polynomials,Gaussian numbers
https://ijnaa.semnan.ac.ir/article_4868.html
https://ijnaa.semnan.ac.ir/article_4868_1f8efea5e0830aaeeea93da32b381e23.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
The semi-obnoxious minisum circle location problem with Euclidean norm
669
678
EN
Mehraneh
Gholami
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
mehraneh.gholami@gmail.com
Jafar
Fathali
0000-0003-1397-8529
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
jf_fathali@yahoo.com
10.22075/ijnaa.2021.4869
The objective of the classical version of the minisum circle location problem is finding a circle $C$ in the plane such that the sum of the weighted distances from the circumference of $C$ to a set of given points is minimized, where every point has a positive weight. In this paper, we investigate the semi-obnoxious case, where every existing facility has either a positive or negative weight. The distances are measured by the Euclidean norm. Therefore, the problem has a nonlinear objective function and global nonlinear optimization methods are required to solve this problem. Some properties of the semi-obnoxious minisum circle location problem with Euclidean norm are discussed. Then a cuckoo optimization algorithm is presented for finding the solution of this problem.
Minisum circle location,nonlinear programming,Semi-obnoxious facility,Cuckoo optimization algorithm
https://ijnaa.semnan.ac.ir/article_4869.html
https://ijnaa.semnan.ac.ir/article_4869_42ebf726b5dc93e5d0a99ef7b8525b66.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
An existence result of three solutions for a $mathbf{2n}$-th-order boundary-value problem
679
691
EN
Osman
Halakoo
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
osman.halakoo@srbiau.ac.ir
Mahdi
Azhini
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
m.azhini@srbiau.ac.ir
Ghasem
Afrouzi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
afrouzi@umz.ac.ir
10.22075/ijnaa.2021.4870
In this paper, we establish the existence of at least three weak solutions for some one-dimensional $2n$-th-order equations in a bounded domain. A particular case and a concrete example are then presented.
boundary value problem,Sobolev space,Critical point,Three solutions,Variational method
https://ijnaa.semnan.ac.ir/article_4870.html
https://ijnaa.semnan.ac.ir/article_4870_c9e5b798070456e50858e60dc60b9838.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Cystoscopic image classification by an ensemble of VGG-nets
693
700
EN
Ehsan
Kozegar
Faculty of Technology and Engineering (Eastern Guilan), University of Guilan, Guilan, Iran.
kozegar@guilan.ac.ir
10.22075/ijnaa.2021.4876
Over the last three decades, artificial intelligence has attracted lots of attentions in medical diagnosis tasks. However, few studies have been presented to assist urologists to diagnose bladder cancer in spite of its high prevalence worldwide. In this paper, a new computer aided diagnosis system is proposed to classify four types of cystoscopic images including malignant masses, benign masses, blood in urine, and normal. The proposed classifier is an ensemble of a well-known type of convolutional neural networks (CNNs) called VGG-Net. To combine the VGG-Nets, bootstrap aggregating approach is used. The proposed ensemble classifier was evaluated on a dataset of 720 images. Based on the experiments, the presented method achieved an accuracy of 63% which outperforms base VGG-Nets and other competing methods.
Cystoscopy,Classification,Deep learning,Bootstrap Aggregating MSC: 68T10
https://ijnaa.semnan.ac.ir/article_4876.html
https://ijnaa.semnan.ac.ir/article_4876_84b5959108e6a83053f86305d7229b63.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Outlier detection in test samples and supervised training set selection
701
712
EN
Navid
Mohseni
Department of Computer Engineering, Babol Branch, Islamic Azad University, Babol, Iran
Hossein
Nematzadeh
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
hn_61@yahoo.com
Ebrahim
Akbari
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
10.22075/ijnaa.2021.4878
Outlier detection is a technique for recognizing samples out of the main population within a data set. Outliers have negative impacts on classification. The recognized outliers are deleted to improve the classification power generally. This paper proposes a method for outlier detection in test samples besides a supervised training set selection. Training set selection is done based on the intersection of three well known similarity measures namely, jacquard, cosine, and dice. Each test sample is evaluated against the selected training set for possible outlier detection. The selected training set is used for a two-stage classification. The accuracy of classifiers are increased after outlier deletion. The majority voting function is used for further improvement of classifiers.
Outlier detection,Training set selection,Similarity measures
https://ijnaa.semnan.ac.ir/article_4878.html
https://ijnaa.semnan.ac.ir/article_4878_5894efa0a77479f846519520fb0752e2.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2020
01
08
Perfect 3-colorings of Heawood graph
713
717
EN
Mehdi
Alaeiyan
Iran University of Science and Technology
alaeiyan@iust.ac.ir
10.22075/IJNAA.2021.4901
https://ijnaa.semnan.ac.ir/article_4909.html
https://ijnaa.semnan.ac.ir/article_4909_6ec9aa7e809a20d96d28ae7a2ce2a82b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On new classes of neutrosophic continuous and contra mappings in neutrosophic topological spaces
718
725
EN
Nadia M.
Ali Abbas
Ministry of Education, Directorate General of Education/ Baghdad/ Al-Kark/3, Baghdad, Iraq
mali.nadia@yahoo.com
Shuker
Mahmood
Khalil
0000-0002-7635-3553
Department of Mathematics, College of Science, Basrah University, Basrah, Iraq
shuker.alsalem@gmail.com
10.22075/ijnaa.2021.4910
neutrosophic sets,neutrosophic topological space,neutrosophic $alpha$ -open sets,neutrosophic $alpha^{*}$ -open set
https://ijnaa.semnan.ac.ir/article_4910.html
https://ijnaa.semnan.ac.ir/article_4910_f0deb9709de757ec48d25404598ce8ec.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Fuzzy co-even domination of strong fuzzy graphs
726
734
EN
Ahmed
A. Omran
Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, Iraq
pure.ahmed.omran@uobabylon.edu.iq
Thaer
A. Ibrahim
The Ministry of Education and the General Directorate of Education Wasit, Iraq
atheer12fe@gmail.com
10.22075/ijnaa.2021.4934
he aim of this research is to initiate a new concept of domination in fuzzy graphs which is called a fuzzy co-even domination number denoted by $gamma_{f c o}(G) .$ We will touch only a few aspects of the theory to of this definition. Some properties and boundaries of this definition are introduced. The fuzzy co-even domination number of fuzzy certain graphs as fuzzy complete, fuzzy complete bipartite, fuzzy star, fuzzy cycle, fuzzy null, fuzzy path, and fuzzy star are determined. Additionally, this number is computed for the complement of mentioned above fuzzy certain graphs. Finally, this number is also determined for the join to mentioned above fuzzy certain graphs with itself.
Fuzzy co-even dominating set,fuzzy co-even domination number,Join of fuzzy graphs,complement of fuzzy graphs
https://ijnaa.semnan.ac.ir/article_4934.html
https://ijnaa.semnan.ac.ir/article_4934_08a2aa9a5f7610098dd35d4ee90d68a9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces
735
740
EN
Hashem
P. Masiha
K. N. Toosi University of Technology
masiha@kntu.ac.ir
Hamid
Mamghaderi
K. N. Toosi University of Technology
hmamghadery@mail.kntu.ac.ir
10.22075/ijnaa.2021.645.1104
In this paper, some fixed point theorems for non-expansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support of these theorems.
Fixed point,partially ordered set,non-Archimedean normed space,ultrametric space,non-expansive mapping
https://ijnaa.semnan.ac.ir/article_4920.html
https://ijnaa.semnan.ac.ir/article_4920_4e2e2b486a6ce2734d2a8ed48716145d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Fixed point of set-valued graph contractions in metric spaces
741
747
EN
Masoud
Ghods
Department of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
mghods@iust.ac.ir
Masoud
Hadian Dehkordi
Department of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
mhadian@iust.ac.ir
10.22075/ijnaa.2021.4922
In this paper, we introduce the (G-$psi$) contraction in a metric space by using a graph. Let $T$ be a multivalued mappings on $X.$ Among other things, we obtain a fixed point of the mapping $T$ in the metric space $X$ endowed with a graph $G$ such that the set of vertices of $G,$ $V(G)=X$ and the set of edges of $G,$ $E(G)subseteq Xtimes X.$
Fixed point,multivalued,(G-$psi$) contraction,directed graph
https://ijnaa.semnan.ac.ir/article_4922.html
https://ijnaa.semnan.ac.ir/article_4922_759ff14442b0c3e3c892afa301fe507a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On complex valued $G_b$-metric spaces and related fixed point theorems
748
760
EN
Chakkrid
Klin-eam
Department of Mathematics Faculty of Science Naresuan University
chakkridk@nu.ac.th
Cholatis
Suanoom
Science and Applied Science Center, Kamphaengphet Rajabhat University, Kamphaengphet, 62000, Thailand
cholatis.suanoom@gmail.com
10.22075/ijnaa.2019.1448.1366
In this paper, we establish complex valued $G_b$-metric spaces and introduced the notion of $G_b$-Banach Contraction, $G_b$-Kannan mapping and prove fixed point theorems in the such spaces.
Fixed point,complex valued Gb-metric spaces,complex valued G-metric spaces,G-metric spaces,Gb-metric spaces,Gb-Banach contraction and GbKannan mapping
https://ijnaa.semnan.ac.ir/article_4933.html
https://ijnaa.semnan.ac.ir/article_4933_2023da914726d21a575c61404da261ae.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A simple, efficient and accurate new Lie--group shooting method for solving nonlinear boundary value problems
761
781
EN
S
Abbasbandy
Imam Khomeini International University
abbasbandy@yahoo.com
M.
Hajiketabi
Department of Mathematics, Imam Khomeini International University,
Qazvin, 34149-16818, Iran
mohammadhajiketabi@gmail.com
10.22075/ijnaa.2019.1543.1403
The present paper provides a new method for numerical solution of nonlinear boundary value problems. This method is a combination of group preserving scheme (GPS) and a shooting--like technique which takes advantage of two powerful methods for solving nonlinear boundary value problems. This method is very effective to search unknown initial conditions. To demonstrate the computational efficiency, the mentioned method is implemented for some nonlinear exactly solvable differential equations including strongly nonlinear Bratu equation, nonlinear reaction--diffusion equation and one singular nonlinear boundary value problem. It is also applied successfully on two nonlinear three--point boundary value problems and a third--order nonlinear boundary value problem which the exact solutions of this problems are unknown. The examples show the power of method to search for unique solution or multiple solutions of nonlinear boundary value problems with high computational speed and high accuracy. In the test problem 5 a new branch of solutions is found which shows the power of the method to search for multiple solutions and indicates that the method is successful in cases where purely analytic methods are not.
Group preserving scheme,Shooting Method,Unique solution,Multiple solutions,Nonlinear boundary value problems
https://ijnaa.semnan.ac.ir/article_4935.html
https://ijnaa.semnan.ac.ir/article_4935_f37db0b0097878dfc8190392fd192183.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New Hermite-Hadamard type inequalities on fractal set
782
789
EN
Tuba
Tunc
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce, Turkey
tubatunc03@gmail.com
Huseyin
Budak
0000-0001-8843-955X
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce, Turkey
hsyn.budak@gmail.com
Fuat
Usta
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce, Turkey
fusta1707@gmail.com
Mehmet
Zeki Sarikaya
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce, Turkey
sarikayamz@gmail.com
10.22075/ijnaa.2018.12156.1611
In this study, we present the new Hermite-Hadamard type inequality for functions which are $h$-convex on fractal set $mathbb{R}^{alpha }$ $(0<alpha leq 1)$ of real line numbers. Then we provide the special cases of the result using different type of convex mappings.
Hermite-Hadamard inequality,fractal set,h- convex function
https://ijnaa.semnan.ac.ir/article_3097.html
https://ijnaa.semnan.ac.ir/article_3097_5372cc915c3358caeeccef87ff8a2101.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Characterizations of the set containment with star-shaped constraints
790
811
EN
Arian
Hedayat
Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
arian_hedayat@yahoo.com
Hossein
Mohebi
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
hmohebi@uk.ac.ir
10.22075/ijnaa.2018.13932.1727
In this paper, we first give a separation theorem for a closed star-shaped set at the origin and a point outside it in terms of separation by an upper semi-continuous and super-linear function, and also, we introduce a <span>$nu$</span>-star-shaped-conjugation. By using this facts, we present characterizations of the set containment with infinite star-shaped constraints defined by weak inequalities. Next, we give characterizations of the set containment with infinite evenly radiant constraints defined by strict or weak inequalities. Finally, we give a characterization of the set containment with an upper semi-continuous and radiant constraint, in a reverse star-shaped set, defined by a co-star-shaped constraint. These results have many applications in Mathematical Economics, in particular, in Utility Theory.
star-shaped function,co-star-shaped function,set containment,$nu$-star-shaped-conjugation,weak separation
https://ijnaa.semnan.ac.ir/article_3533.html
https://ijnaa.semnan.ac.ir/article_3533_309418436f44ce75503bcaea860db887.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations
812
820
EN
Hassan Kamil
Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
hassan.kamil28@yahoo.com
Mayada Gassab
Mohammed
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
10.22075/ijnaa.2021.4936
In this paper, we investigate solutions of nonlinear fractional differential equations by using Natural homotopy perturbation method (NHPM). This method is coupled by the Natural transform (NT) and homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.
Local fractional RDTM,Fractional gas dynamics equation,Natural transform,Homotopy perturbation method
https://ijnaa.semnan.ac.ir/article_4936.html
https://ijnaa.semnan.ac.ir/article_4936_fba1a9499f3844a5d3b42d9c8a3ac4c3.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New formula to calculate the number of designs in RADG cryptosystem
821
829
EN
Laith M
Kadhum
Faculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia;
&
University of Kufa, Najaf, Iraq
Ahmad
Firdaus
aFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur
firdausza@ump.edu.my
Mohamad Fadli
Zolkiplib
School of Computing, UUM College Arts Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman,
Malaysia
m.fadli.zolkipli@uum.edu.my
Luay
Saferalia
Faculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia
Mohd Faizal
Ab Razaka
aFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia
10.22075/ijnaa.2021.4937
Reaction automata direct graph (RADG) is a new technique that uses the automata direct graph method to represent a certain design for encryption and decryption. Jump states are available in the RADG design that enables the encipher to generate different ciphertexts each time from the same plaintext and wherein not a single ciphertext is related to a certain plaintext. This study created a matrix representation for RADG designs that allows the calculation of the number of cases ($F_{Q}$)mathematically possible for any design of the set $Q$. $F_{Q}$ is an important part of the function $mathrm{F}(mathrm{n}, mathrm{m}, lambda)$ that calculates the total number of cases of a certain design for the values $Q, R, sum, psi, J$ and $T$. This paper produces a mathematical equation to calculate $F_{Q}$.
RADG,cryptography,Block Cipher,Keyless,Graph Theory
https://ijnaa.semnan.ac.ir/article_4937.html
https://ijnaa.semnan.ac.ir/article_4937_b6e64e5cff8598689fde19555e463fac.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New optimization algorithm to improve numerical integration method
830
837
EN
Inaam
Rikan Hassan
University of Information Technology and Communications, Baghdad, Iraq
drinrh@uoitc.edu.iq
10.22075/ijnaa.2021.4938
This paper introduces a new proposed algorithm of numerical integration evaluation regarded as optimization problem solution. The new method is characterized to have superiority features such as attractive, accurate and rapid. An improvement of polynomial regression has been done by selecting nearest neighbors points being searched around of the values of regression coefficients which calculated by using least squares method. Furthermore, Trapezoidal and Simpson methods were considered as traditional methods in numerical integration. In this regard, comparison has been done among all four methods used in simulation application via MATLAB program that have been performed to achieve the desired numerical results for the four methods. As conclusion, the proposed algorithm approved its superiority.
Trapezoidal method,Simpson method,Optimization problem,Polynomial regression,Least squares method
https://ijnaa.semnan.ac.ir/article_4938.html
https://ijnaa.semnan.ac.ir/article_4938_0e88b1d35dd7765f25276ce1efd794de.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Numerical simulation of arterial pulse propagation using autonomous models
838
846
EN
Mayada G.
Mohammed
Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
Hassan Kamil
Jassim
Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
hassankamil@utq.edu.iq
10.22075/ijnaa.2021.4939
We present a model of the fluid flow between elastic walls simulating arteries actively interacting with the blood. The lubrication theory for the flow is coupled with the pressure and shear stress from the walls. The resulting nonlinear partial differential equation describes the displacement of the walls as a function of the distance along the flow and time.
channel flow,elastic,pulses
https://ijnaa.semnan.ac.ir/article_4939.html
https://ijnaa.semnan.ac.ir/article_4939_3fdbe2ed18a354cf4e977fdeef9536ad.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New subclass of analytic functions defined by subordination
847
855
EN
Hossein
Naraghi
Department of Mathematics, Payame Noor University, Tehran, Iran
ho.naraghi@pnu.ac.ir
Parvaneh
Najmadi
0000-0001-6510-2647
Department of Mathematics, Payame Noor University, Tehran, Iran
pnajmadi@gmail.com
Bahman
Taherkhani
Department of Mathematics, Payame Noor University, Tehran, Iran
bahman.taherkhani@pnu.ac.ir
10.22075/ijnaa.2018.13582.1706
By using the subordination relation $"prec"$, we introduce an interesting subclass of analytic functions as follows:<br /> begin{equation*}<br /> mathcal{S}^*_{alpha}:=left{fin mathcal{A}:frac{zf'(z)}{f(z)}prec frac{1}{(1-z)^alpha}, |z|<1right},<br /> end{equation*}<br /> where $0<alphaleq1$ and $mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $|z|<1$. In the present paper, by the class $mathcal{S}^*_{alpha}$ and by the Nunokawa lemma we generalize a famous result connected to starlike functions of order $1/2$. Also, coefficients inequality and logarithmic coefficients inequality for functions of the class $mathcal{S}^*_{alpha}$ are obtained.
univalent,subordination,Starlike functions,coefficients estimates,logarithmic coefficients,Nunokawa's lemma
https://ijnaa.semnan.ac.ir/article_4940.html
https://ijnaa.semnan.ac.ir/article_4940_a768d0ff6e35a2d3a84f5ec180873130.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Fractal transforms for fuzzy valued images
856
868
EN
M
Rajkumar
B.S.ABDUR RAHMAN UNIVERSITY
CHENNAI, TAMILNADU,INDIA
m.rajkmar@gmail.com
R.
Uthayakumar
Department of Mathematics, Gandhigram Rural Institute(Deemed university), Gandhigram,Dindigul, Tamilnadu, India
uthayagri@gmail.com
10.22075/ijnaa.2019.1590.1413
The aim of this paper is to construct a complete metric space of fuzzy valued image functions and to define a fractal transform operator T. Contraction of T is guarantees the existence of its fixed point. A fuzzy point is considered for this purpose as a crisp point and approached through classical method on proving the completeness of the space.
Fractal Image compression,Iterated function systems,Fuzzy sets,Fuzzy iterated function systems,Fuzzy valued images,Fuzzy Fractal Image Compression
https://ijnaa.semnan.ac.ir/article_4941.html
https://ijnaa.semnan.ac.ir/article_4941_12e56a3a3d1a9b750e1028d4cf8537e5.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Classification of problems of determining the maximum common fragments for two structures of a temporal digraph
869
875
EN
Ali
Rashid
Ibrahim
Department of Applied Mathematics, College of Science,
University of Anbar,
Ramadi, Iraq
sc.alirashed@uoanbar.edu.iq
10.22075/ijnaa.2021.4942
A new approach is proposed for classifying the problems of determining the maximum common fragments $(M C F)$ for two connected structures included in the $T$-digraph, based on the type of the maximum common fragment. A tree of classification the problems of determining the maximum common fragments $(M C F)$ for two structures $t_{i} G, t_{j} Gleft(M C Fleft(t_{i} G, t_{j} Gright)right)$ included in the $T$-digraph is proposed. Examples are given for a digraph $t G$ with three types of its fragments (parts), and for five connectivity types of digraphs. The formulation of six basic problems of determining the maximum common fragments $ (MCF) $ for two connected structures included in the $T$-digraph is given. A classification is proposed for an isomorphic embedding of a digraph into another.
temporal digraph,maximum common fragment,maximum common subgraph,spanning subgraph,induced subgraph,classification of maximum common fragments,Isomorphic embedding
https://ijnaa.semnan.ac.ir/article_4942.html
https://ijnaa.semnan.ac.ir/article_4942_59522f789923050dbd9f007f0f3a3ceb.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Infinitesimal generators of Lie symmetry group of parametric ordinary differential equations
877
891
EN
Abdolali
Basiri
0000-0003-4454-4379
Damghan University
basiri@du.ac.ir
Sajjad
Rahmani
Damghan University
s_rahmani@du.ac.ir
Malihe baigom
Mirkarim
Damghan University
m.mirkarim@std.du.ac.ir
10.22075/ijnaa.2021.22387.2356
Lie’s theory of symmetry groups plays an important role in analyzing and solving differential equations; for instance, by decreasing the order of equation. Moreover, there are some analytic methods to find the infinitesimal generators that span the Lie algebra of symmetries. In this paper, we first converted the problem of finding infinitesimal generators in to the problem of solving a system of polynomial equations in the context of computational algebraic geometry. Then, we used Gröbner basis a novel computational tool to solve this problem. As far as we know, when a differential equation contains some parameters, there is no linear algebraic algorithm up to our knowledge to deal with these parameters; so, we must apply the algorithms, which are based on Gröbner basis.
Point symmetry of ODEs,Infinitesimal generators,Gröbner basis
https://ijnaa.semnan.ac.ir/article_4943.html
https://ijnaa.semnan.ac.ir/article_4943_ac762b1af562b641f21fa5b9e84675a7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions
893
902
EN
Vahid
Parvaneh
Young Researchers and Elite Club, Kermanshah Branch,
Islamic Azad University, Kermanshah, Iran.
zam.dalahoo@gmail.com
Babak
Mohammadi
Department of Mathematics, Marand Branch, Islamic Azad
University, Marand, Iran
bmohammadi@marandiau.ac.ir
Manuel
De la Sen
Institute of Research and Development of Processes, Leioa 48940, Spain
manuel.delasen@ehu.eus
Esmaeil
Alizadeh
Department of Mathematics, Marand Branch,
Islamic Azad University, Marand, Iran
e_alizadeh@marandiau.ac.ir
Hemant
Kumar
Nashine
0000-0002-250-9172
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology,
Vellore-632014, TN, India
hemant.nashine@vit.ac.in
10.22075/ijnaa.2020.20511.2161
Using the concept of extended Wardowski-Mizoguchi-Takahashi contractions, we investigate the existence of solutions for three type of nonlinear fractional differential equations. To patronage our main results, some examples of nonlinear fractional differential equations are given.
nonlinear fractional differential equation,Wardowski-Mizoguchi-Takahashi type contraction,Fixed point
https://ijnaa.semnan.ac.ir/article_4944.html
https://ijnaa.semnan.ac.ir/article_4944_3c9554ed75e193e8df955557db13a4e1.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations
903
911
EN
Youssef
Touail
Equipe de Recherche en Mathématiques Appliquées,Technologies de l’Information et de la Communication
Polydisciplinary Faculty of Khouribga, BP. 25000
Universite Sultan Moulay Slimane de Beni-Mellal
Morocco
youssef9touail@gmail.com
Driss
El Moutawakil
Equipe de Recherche
en Mathématiques Appliquées, Technologies de l’Information et de la Communication Polydisciplinary Faculty of Khouribga, BP. 25000
Universite Sultan Moulay Slimane de Beni-Mellal
Morocco
d.elmotawakil@gmail.com
10.22075/ijnaa.2021.21318.2245
In this paper, we prove a new common fixed point in a general topological space with a $tau-$distance. Then we deduce two common fixed point theorems for two new classes of contractive selfmappings in complete bounded metric spaces. Moreover, an application to a system of differential equations is given.
Common fixed point,Shrinking maps,$E_theta$-Weakly contractive maps,metric space,Hausdorff topological space
https://ijnaa.semnan.ac.ir/article_4945.html
https://ijnaa.semnan.ac.ir/article_4945_5725588076eaae26bc1b9c2b2b322155.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Maximal ideal graph of commutative semirings
913
926
EN
Ahmed H.
Alwan
Department of Mathematics, Faculty of Education for Pure Sciences, Thi-Qar University,Thi-Qar, Iraq
ahmedha_math@utq.edu.iq
10.22075/ijnaa.2021.4946
Semiring,Maximal ideal,The maximal ideal graph,Connectedness,Diameter,Girth,Planar property
https://ijnaa.semnan.ac.ir/article_4946.html
https://ijnaa.semnan.ac.ir/article_4946_0572d5fd15423618c684bc6d4213633a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On sum of range sets of sum of two maximal monotone operators
927
934
EN
Dillip
Kumar
Pradhan
Department of Mathematics,
National Institute of Technology, Rourkela
pradhandk89@gmail.com
10.22075/ijnaa.2019.12171.1615
In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish <br /> (1) ran (A+B)=ran A+ran B<br /> (2) int (ran (A+B))=int(ran A+ran B).<br /> with the assumption that A is a maximal monotone operator and B is a single-valued maximal monotone operator such that A+B is ultramaximally monotone. Conditions (1) and (2) are known as Br$acute{e}$zis-Haraux conditions.
monotone operator,Maximal Monotone Operator,Ultramaximal Monotone Operator,Br$acute{e}$zis-Haraux conditions
https://ijnaa.semnan.ac.ir/article_4947.html
https://ijnaa.semnan.ac.ir/article_4947_6d9977d8ebb77720a92bc14347edecaf.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Parameter estimation of inverse exponential Rayleigh distribution based on classical methods
935
944
EN
Mayssa J.
Mohammed
Department of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, Iraq
Ali T.
Mohammed
Department of mathematics, College Of Education For Pure Sciences (Ibn AL-Haitham), University of Baghdad, Iraq
10.22075/ijnaa.2021.4948
This paper introduces and developed a new lifetime distribution known as inverse exponential Rayleigh distribution (IERD). The new two-scale parameters generalized distribution was studies with its distribution and density functions, besides that the basic properties such as survival, hazard, cumulative hazard, quantile function, skewness, and Kurtosis functions were established and derived. To estimate the model parameters, maximum likelihood, and rank set sampling estimation methods were applied with real-life data.
Exponential distribution,Exponential Rayleigh distribution,Inverse distribution,Rayleigh distribution,Survival functions
https://ijnaa.semnan.ac.ir/article_4948.html
https://ijnaa.semnan.ac.ir/article_4948_df887f66a99591be3c518f8b7343221f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings
945
962
EN
Artion
Kashuri
0000-0003-0115-3079
Department of Mathematics, Faculty of Technical Science, University &quot;Ismail Qemali&quot;, Albania
artionkashuri@gmail.com
Rozana
Liko
0000-0003-2439-8538
Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", Albania
rozanaliko86@gmail.com
10.22075/ijnaa.2019.13075.1673
In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex set. By using the notion of generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type conformable fractional integral inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article.
Ostrowski type inequality,Holder's inequality,Minkowski inequality,power mean inequality,m-invex
https://ijnaa.semnan.ac.ir/article_4949.html
https://ijnaa.semnan.ac.ir/article_4949_2df31abbbef3aa4e9fa97709a07ca13a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Generalized Suzuki $(psi,phi)$-contraction in complete metric spaces
963
978
EN
Akindele
Adebayo
Mebawondu
University of KwaZulu-Natal, Durban, South Africa. School of Mathematics, Statistics and Computer Sciences.
dele@aims.ac.za
Iyanu
Sunday
Mebawondu
Mathematics, Lagos State University
mebawonduiyanu@gmail.com
10.22075/ijnaa.2020.15983.1837
In this paper, we introduce the concept of $(psi, phi)$-Suzuki and $(psi, phi)$-Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for $(psi, phi)$-Suzuki and $(psi, phi)$-Jungck-Suzuki contraction mappings in the frame work of complete metric spaces. As an application, we apply our result to find the existence and uniqueness of solutions of a differential equation.
$(\psi, \phi)$-Suzuki-type mapping,Fixed point,$(\psi, \phi)$-Jungck-Suzuki mapping,Coincidence point,metric space
https://ijnaa.semnan.ac.ir/article_4950.html
https://ijnaa.semnan.ac.ir/article_4950_444c2885536fa61fe9f128b65f75d545.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
New estimates of Gauss-Jacobi and trapezium type inequalities for strongly $(h_{1},h_{2})$-preinvex mappings via general fractional integrals
979
996
EN
Artion
Kashuri
0000-0003-0115-3079
Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali" of Vlora, Albania
artionkashuri@gmail.com
Rozana
Liko
0000-0003-2439-8538
Department of Mathematics, Faculty of Technical Science, University &quot;Ismail Qemali&quot; of Vlora, Albania
rozanaliko86@gmail.com
Muhammad
Aamir
Ali
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences,
Nanjing Normal University, 210023, China
mahr.muhammad.aamir@gmail.com
Huseyin
Budak
0000-0001-8843-955X
Department of Mathematics, Faculty of Science and Arts, Duzce
University, Duzce, Turkey
hsyn.budak@gmail.com
10.22075/ijnaa.2020.19718.2096
In this paper, authors discover two interesting identities regarding Gauss--Jacobi and trapezium type integral inequalities. By using the first lemma as an auxiliary result, some new bounds with respect to Gauss--Jacobi type integral inequalities for a new class of functions called strongly $(h_{1},h_{2})$--preinvex of order $sigma>0$ with modulus $mu>0$ via general fractional integrals are established. Also, using the second lemma, some new estimates with respect to trapezium type integral inequalities for strongly $(h_{1},h_{2})$--preinvex functions of order $sigma>0$ with modulus $mu>0$ via general fractional integrals are obtained. It is pointed out that some new special cases can be deduced from main results. Some applications to special means for different real numbers and new approximation error estimates for the trapezoidal are provided as well. These results give us the generalizations of some previous known results. The ideas and techniques of this paper may stimulate further research in the fascinating field of inequalities.
Hermite-Hadamard inequality,Holder inequality,power mean inequality,general fractional integrals
https://ijnaa.semnan.ac.ir/article_4951.html
https://ijnaa.semnan.ac.ir/article_4951_44ccb936f00e77ef9a0a494cba86cb3e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Subordination and superordination results of multivalent functions associated with the Dziok-Srivastava operator
997
1008
EN
Tamer
Seoudy
Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
tms00@fayoum.edu.eg
M. K.
Aouf
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
mkaouf27@yahoo.com
Teodor
Bulboacă
0000-0001-8026-218X
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
bulboaca@math.ubbcluj.ro
10.22075/ijnaa.2019.17226.1916
Using the techniques of the differential subordination and superordination, we derive certain subordination and superordination properties of multivalent functions associated with the Dziok-Srivastava operator.
Analytic functions,meromorphic functions,multivalent functions,Dziok-Srivastava operator,Differential subordination,differential superordination
https://ijnaa.semnan.ac.ir/article_4952.html
https://ijnaa.semnan.ac.ir/article_4952_0d287353b35ea8f069476cddc3fe354b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Stability of Inverse Pitchfork Domination
1009
1016
EN
Mohammed A.
Abdlhusein
Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
mmhd@utq.edu.iq
10.22075/ijnaa.2021.4956
dominating set,pitchfork domination,inverse pitchfork domination
https://ijnaa.semnan.ac.ir/article_4956.html
https://ijnaa.semnan.ac.ir/article_4956_034bf33163b63b47147524e23f004cc0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Some estimation procedures of the PDF and CDF of the generalized inverted Weibull distribution with comparison
1017
1036
EN
Ezzatallah
Baloui Jamkhaneh
Islamic Azad university
e_baloui2008@yahoo.com
Mortaza
Ghasemi Cherati
Department of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, Iran
mghch2007@gmail.com
Einolah
Deiri
Department of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, Iran
deiri53@gmail.com
10.22075/ijnaa.2020.21419.2257
Different estimation procedures for the probability density and cumulative distribution functions<br /> of the generalized inverted Weibull distribution are discussed. For this purpose, the parametric and non-parametric estimation approaches as maximum likelihood, uniformly minimum variance unbiased, percentile, least squares and weighted least squares estimators are considered and compared. The expectations and mean square error of the maximum likelihood and uniformly minimum variance unbiased estimation are provided in the closed-form whereas, for non-parametric estimation methods (percentile, least squares and weighted least squares), the expectations and mean square error are computed via the simulation data. The Monte Carlo simulations are provided to assess the performances of the proposed estimation methods. Finally, the analysis of the real data set has been presented for illustrative purposes.
Generalized inverted Weibull distribution,Maximum likelihood estimator,Uniformly minimum variance unbiased estimator,Percentile estimator,Least squares estimator,Weighted least squares estimator
https://ijnaa.semnan.ac.ir/article_4957.html
https://ijnaa.semnan.ac.ir/article_4957_2eb8e359d0951f2e7dec042933cc55c5.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
A new Robust algorithm for penalized regression splines based on mode-estimation
1037
1055
EN
Ahmed
Eldeeb
asedky@kku.edu.sa
Sabreen
Desoky
Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Alexandria University, Egypt
sabreenfraag@yahoo.com
Mohamed
Ahmed
Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Alexandria University, Egypt
drmoh.alyahmed@gmail.com
10.22075/ijnaa.2021.23023.2458
The main purpose of present article is proposed an effective method for robust fitting penalized regression splines models. According to such a context a comparative analysis with two common robust techniques, M-type estimator, S-type estimator, and non-robust least squares (LS) for penalized regression splines (PRS) has been implemented. Because the penalized regression splines are recently a common approach to smoothing noisy data for its simplicity, efficiency, and significantly reducing disturbance of outliers and its flexibility in monitoring nonlinear data trends. In many cases, it is difficult to determine the most suitable form and a way of designing a data is needed when faced with many smoothing problems. The executing aspects of fitting precision and robustness of the four estimators have a thorough evaluation of their performance on R codes. A comparative analysis demonstrates that the proposed method can resist the noise effect in both simulated and real data examples compared to other robust estimators with different combinations of contamination. These findings are used as guidance for finding a specific method to pulsing smoothing noisy data
M-estimator,S-estimator,modal regression,penalized regression splines,Smoothing
https://ijnaa.semnan.ac.ir/article_4971.html
https://ijnaa.semnan.ac.ir/article_4971_da58a6e6cefd63c8d4f3a7133458c209.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Gerghaty type results via simulation and $mathcal{C}$-class functions with application
1057
1071
EN
Azhar
Hussain
University of Sargodha
hafiziqbal30@yahoo.com
Muhammad
Ishfaq
University of Sargodha
ishfaqahmad5632@gmail.com
Tanzeela
Kanwal
University of Sargodha
tanzeelakanwal16@gmail.com
Stojan
Radenovic
Faculty of Mechanical Engineering,
Beograd Serbia
radens@beotel.rs
10.22075/ijnaa.2019.16025.1842
In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with $mathcal{C}$-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces. An example is given to show the validity of our results given herein. Moreover, existence of solution of two-point boundary value second order nonlinear differential equation is obtain.
simulation functions,$mathcal{C}$-class function,partially ordered metric space
https://ijnaa.semnan.ac.ir/article_4972.html
https://ijnaa.semnan.ac.ir/article_4972_22590e17b4a3b2d6c5bcc859101c6352.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Proposing a lower bound for a nonlinear scheduling problem in supply chain
1073
1085
EN
Mohammad Ali
Beheshtinia
Semnan university
beheshtinia@semnan.ac.ir
Amir
Ghasemi
semnan university
ghasemi.amir@semnan.ac.ir
10.22075/ijnaa.2017.1616.1422
This paper proposes a nonlinear programming model for a scheduling problem in the supply chain. Due to the nonlinear structure of the developed model and its NP-hard structure, a lower bound is developed. Four lemmas and a theorem are presented and proved to determine the lower bound. The proposed problem is inspired from a three stage supply chain commonly used in various industries.
scheduling,supply chain,Lower bound,nonlinear programming
https://ijnaa.semnan.ac.ir/article_4973.html
https://ijnaa.semnan.ac.ir/article_4973_2c583f562cf8120b161175f55ec5b6b5.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Analysis and control of a 4D hyperchaotic system with passive control
1087
1095
EN
Selcuk
Emiroglu
selcukemiroglu@sakarya.edu.tr
Yılmaz
Uyaroğlu
Sakarya Univerity, Sakarya, Turkey
uyaroglu@sakarya.edu.tr
10.22075/ijnaa.2020.21594.2278
In this study, the dynamical behavior of the four-dimensional (4D) hyperchaotic system is analyzed. Its chaotic dynamical behaviors and basic dynamical properties are presented by Lyapunov exponents, stability analysis, and Kaplan-Yorke dimension. Then, the control of 4D hyperchaotic system is implemented by using passive control. The global asymptotic stability of the system is guaranteed by using Lyapunov function. Simulation results are shown to validate all theoretical analysis and demonstrate the effectiveness of the proposed control method. By applying the passive controllers, the system under chaotic behavior converges to the equilibrium point at origin asymptotically.
4D hyperchaotic system,Passive control,chaos control,complex dynamic behavior
https://ijnaa.semnan.ac.ir/article_4974.html
https://ijnaa.semnan.ac.ir/article_4974_bdb5fbe3fc99761cabd4aaf2b5fa88b7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Anti-N-order polynomial Daugavet property on Banach spaces
1097
1105
EN
John
Emenyu
Department of Mathematics, Faculty of Science, Mbarara University of Science and Technology.
jemenyu@must.ac.ug
10.22075/ijnaa.2019.16371.1865
We generalize the notion of the anti-Daugavet property (a-DP) to the anti-N-order polynomial Daugavet property (a-NPDP) for Banach spaces by identifying a good spectrum of a polynomial and prove that locally uniformly alternatively convex or smooth Banach spaces have the a-mDP for rank-1 polynomials. We then prove that locally uniformly convex Banach spaces have the a-NPDP for compact polynomials if and only if their norms are eigenvalues, and uniformly convex Banach spaces have the a-NPDP for continuous polynomials if and only if their norms<br /> belong to the approximate spectra.
Banach spaces,local and uniform convexity,polynomials,N-order polynomial Daugavet equation,anti-N-order Daugavet property
https://ijnaa.semnan.ac.ir/article_4975.html
https://ijnaa.semnan.ac.ir/article_4975_dcbcd4a6a92b6b490dbbbb5250a63af9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On $alpha^{*}-$continuous and contra $alpha^{*}-$continuous mappings in topological spaces with soft setting
1107
1113
EN
Nadia M.
Ali Abbas
Ministry of Education, Directorate General of Education/ Baghdad/ Al-Kark/3, Iraq.
Shuker
Mahmood
Khalil
0000-0002-7635-3553
Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq.
shuker.alsalem@gmail.com
Alaa
Abdullah Hamza
Ministry of Education, The General Directorate For Al-Najaf Al Ashraf, Iraq
aalaa21abd@gmail.com
10.22075/ijnaa.2021.23061.2471
In this work, some new connotations of continuous mappings such as $alpha^{*}$ - continuous mapping $left(alpha^{*}-C Mright),$ irresolute $alpha^{*}-$mapping $left(I alpha^{*}-C Mright),$ and strongly $alpha^{*}-$ continuous mapping $left(S alpha^{*}-C Mright)$ are studied and some of their characteristics are discussed. In other side, new some classes of contra continuous mappings are investigated in this work, they are called contra $alpha^{*}$ - continuous mapping $left(C alpha^{*}-C Mright)$.
alpha-$open sets,$alpha^{*}-$open sets,$alpha^{*}$-regular spaces
https://ijnaa.semnan.ac.ir/article_4980.html
https://ijnaa.semnan.ac.ir/article_4980_7a2be019b99992d7dcfb4a69872de255.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On subgroups of the unitary group especially of degree 2
1115
1121
EN
Shakir
Sabbar
0000-0001-5962-7869
Department of Mathematics, Faculty of Mathematics and natural sciences, University of Brawijaya, Malang, Indonesia
shamartr@gmail.com
Agus
Widodo
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia
prof.agus_widodo@yahoo.com
Noor
Hidayat
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia
noorh@ub.ac.id
Abdul
Rouf
Alghofari
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia
abdul_rouf@ub.ac.id
10.22075/ijnaa.2021.23056.2469
The point of the current investigation is to research one of the extremely significant groups exceedingly associated with the classical group which is called the special unitary groups $SU_{2}(K)$ particularly of degree $2$. Let $K$ be a field of characteristic, not equal $2$, our principal objective that to depicting subgroups of $SU_{2}(K)$ over a field $K$ contains all elementary unitary transvections.
Unitary group,special unitary group,unitary transvection
https://ijnaa.semnan.ac.ir/article_4981.html
https://ijnaa.semnan.ac.ir/article_4981_7eaf4a69f8bbfe438e643f8155c095e4.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
04
05
A family of parallel quasi-Newton algorithms for unconstrained minimization
1123
1133
EN
Abdel-Rahman
Ahmed
0000-0003-0888-7198
Department of Mathematics, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut, Egypt
ab1_ibrahim@yahoo.com
Mohamed
Salim
Department of Mathematics, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut, Egypt
abdelrahman24682@gmail.com
10.22075/ijnaa.2019.16979.1900
This paper deals with the solution of the unconstrained optimization problems on parallel computers using quasi-Newton methods. The algorithm is based on that parallelism can be exploited in function and derivative evaluation costs and linear algebra calculations in the standard sequential algorithm. Computational problem is reported for showing that the parallel algorithm is superior to the sequential one.
Parallel algorithm,Unconstrained optimization,Quasi-Newton
https://ijnaa.semnan.ac.ir/article_4976.html
https://ijnaa.semnan.ac.ir/article_4976_17be98347a5597f3d5e3c3f6581d5dbd.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Integrated three layer supply chain inventory model for price sensitive and time dependent demand with suggested retail price by manufacturer
1135
1152
EN
Uttam
Kumar
Khedlekar
0000-0002-3599-5576
Department of Mathematics,
Dr Harisingh Gour Vishwavidyalaya, Sagar MP India
uvkkcm@yahoo.co.in
Atmaram
Nigwal
0000-0002-8104-3605
Ujjain Engineering Collage Ujjain (M. P.) India
arnw@rediffmail.com
N. K.
Khedlekar
Department of Management Studies (DOM), Indian Institute of Technology (IIT), Madras, India
nuvkk@yahoo.in
H. K.
Patel
Department of Mathematics, Ujjain Engineering Collage, Ujjain M.P. India
hkpatelmaths@rediffmail.com
10.22075/ijnaa.2018.14334.1749
This paper presents an integrated three layer supply chain policy for multi-channel and multi-echelon consisting manufacturer, distributors and retailers as supply chain members. The demand of retailers end is considered as linear function of time and retail price. The average net profit function per unit time is derived for each supply chain member which are based on demand of retailer's end. Since holding cost of goods/inventory is expensive in developed areas, we have introduced a new concept to share holding cost among distributors and retailers. We have optimized lot size, retailing price and replenishment time interval for retailers. We have also optimized initial inventory level and wholesale price for distributors and manufacturer respectively. This study is performed in two different categories one is decentralized and other is centralized scenario. The profit function of each supply chain members has been derived and shown as a concave function with respect to decision variables. More over propositions and results are made to illustrate the proposed model and we have sensitive analyzed it with numerical example.
Inventory,Holding cost,Net prot,Multi-channel supply chain,Centralize scenario,Decentralize scenario
https://ijnaa.semnan.ac.ir/article_4979.html
https://ijnaa.semnan.ac.ir/article_4979_2af6684962a9fe2f23b78c802161d03d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Asymptotic behavior of generalized quadratic mappings
1153
1165
EN
Hark
Mahn Kim
Department of Mathematics, Chungnam National University
99 Daehangno, Yuseong-gu, Daejeon 305-764, Korea
hmkim@cnu.ac.kr
Ick-Soon
Chang
Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Korea
ischang@cnu.ac.kr
10.22075/ijnaa.2021.4982
We show in this paper that a mapping $f$ satisfies<br />the following functional equation<br />begin{eqnarray*}<br />biguplus_{x_2,cdots,x_{d+1}}^{d}f(x_1) = 2^{d} sum_{i=1}^{d+1}f(x_i),<br />end{eqnarray*}<br />if and only if it is quadratic. In addition, we investigate generalized Hyers-Ulam stability problem for the equation, and thus obtain an asymptotic property of quadratic mappings as applications.
stability,Parallel polyhedron equality,Generalized quadratic mappings
https://ijnaa.semnan.ac.ir/article_4982.html
https://ijnaa.semnan.ac.ir/article_4982_5b3e194d24ecb0652e5701b2e1f1cc37.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On a more accurate Hardy-Hilbert's inequality in the whole plane
1167
1179
EN
Qiliang
Huang
Department of Mathematics,
Guangdong University of Education,Guangzhou , Guangdong , P.R.China
qlhuang@yeah.net
Bicheng
Yang
Department of Mathematics, Guangdong University of Education
bcyang@gdei.edu.cn
10.22075/ijnaa.2018.13571.1705
By introducing independent parameters and applying the weight coefficients, we use Hermite-Hadamard's inequality and give a more accurate Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered.
Hardy-Hilbert's inequality,more accurate inequality,parameter,weight coefficient,equivalent form,operator expression
https://ijnaa.semnan.ac.ir/article_4983.html
https://ijnaa.semnan.ac.ir/article_4983_ec7cc13daefbd27ff1622c504cc9403d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
The extended tanh method for solving conformable space-time fractional KdV equations
1181
1194
EN
Handan
Yaslan
Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey
hcerdik@pau.edu.tr
Ayşe
Girgin
Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey
agirgin114@posta.pau.edu.tr
10.22075/ijnaa.2019.15346.1807
In this study, we obtain exact traveling wave solutions of the conformable space-time fractional Sawada-Kotera-Ito, Lax and Kaup-Kupershmidt equations by using the extended tanh method. The obtained traveling wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. Simulation of the obtained solutions are given at the end of the paper.
Conformable space-time fractional Sawada-Kotera-Ito equation,Conformable space-time fractional Lax equation,Conformable space-time fractional Kaup-Kupershmidt equation,Extended tanh method,Traveling wave solutions
https://ijnaa.semnan.ac.ir/article_4984.html
https://ijnaa.semnan.ac.ir/article_4984_0449877241e27133cc44c4b8e3fc39e9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Initial value problem for a fractional neutral differential equation with infinite delay
1195
1206
EN
Mohammed
S
Abdo
Dr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 India
moh_wosabi@hotmail.com
Satish
K.
Panchal
Dr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 India
drpanchalskk@gmail.com
10.22075/ijnaa.2018.13488.1698
We consider the initial value problem for a class of nonlinear fractional neutral functional differential equations with infinite delay involving the standard fractional derivative in the sense of Caputo. By using a variety of tools of fractional calculus including the Banach contraction principle and the Schaefer fixed point theorem, the existence, uniqueness and continuous dependence results are obtained in the space of continuous functions.
fractional functional differential equations,fractional derivative and fractional integral,existence and continuous dependence,Fixed point theorem
https://ijnaa.semnan.ac.ir/article_4985.html
https://ijnaa.semnan.ac.ir/article_4985_734de37646b5ab19c7135299c1743c94.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On a class of nonlinear parabolic equations with natural growth in non-reflexive Musielak spaces
1207
1233
EN
Bourahma
Mohamed
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
mohamedbourahma@gmail.com
Deval
Sidi Mohamed
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
sidideval@gmail.com
Bennouna
Jaouad
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
jbennouna@hotmail.com
Abdelmoujib
Benkirane
Departement of Mathematics Faculte of Sciences SIdi Mohamed Ben Abdellah University Dhar Mahraz Fez Morocco
abd.benkirane@gmail.com
10.22075/ijnaa.2021.21148.2235
An existence result of renormalized solutions for nonlinear parabolic Cauchy-Dirichlet problems whose model<br /> $$left{begin{array}{ll}<br /> displaystylefrac{partial b(x,u)}{partial t}<br /> -mbox{div}>mathcal{A}(x,t,u,nabla u)-mbox{div}><br /> Phi(x,t,u)=<br /> f &mbox{ in }Omegatimes (0,T)\<br /> b(x,u)(t=0)=b(x,u_0) & mbox{ in } Omega\<br /> u=0 &mbox{ on } partialOmegatimes (0,T).<br /> end{array}right.<br /> $$<br /> is given in the non reflexive Musielak spaces, where $b(x,cdot)$ is a strictly increasing $C^1$-function for every $xinOmega$ with $b(x,0)=0$, the lower order term $Phi$ is a non coercive Carath'{e}odory function satisfying only a natural growth condition described by the appropriate Musielak function $varphi$ and $f$ is an integrable data.
Parabolic problems,Musielak spaces,Renormalized solutions,natural growth
https://ijnaa.semnan.ac.ir/article_4990.html
https://ijnaa.semnan.ac.ir/article_4990_c17186d8e0c3622b698ec11c39c77d38.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
On soft $b^*$-closed sets in soft topological space
1235
1242
EN
Saif Z.
Hameed
Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
saifzuhair-p@sci.asu.edu.eg
Fayza A.
Ibrahem
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Essam A.
El-Seidy
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
10.22075/ijnaa.2021.5002
In this paper, we introduce and study a new class of soft sets, called soft $b^*$-closed and soft $b^*$-open sets. we study several characterizations and properties of these class of sets.
soft $b$-open set,soft $b^*$-closed set,soft $b^*$- open set
https://ijnaa.semnan.ac.ir/article_5002.html
https://ijnaa.semnan.ac.ir/article_5002_709aeaf41feff09903e9df0f6673f671.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Application of the accelerated failure time model to lung cancer data
1243
1250
EN
Akam Ali
Othman
College of Administration and EconomicsnUniversity of Kirkuk
Sabah Haseeb
Hasan
College of Administration and EconomicsnUniversity of Kirkuk
sabahsaqi@uokirkuk.edu.iq
10.22075/ijnaa.2021.5003
Accelerated failure time model sometimes symbolized as AFT model, is an important regression model in survival analysis. In this article, we applied AFT model to the data of lung cancer patient in order to identify the must important factors affecting the patient's survival time. The results showed a well performance for this model, as based on some statistical criteria, the factors that are consistent with the opinion of specialists in in uencing survival time were identified, as the factors (smoking, treatment, proliferation, location of residence) of the main factors aecting the life of a person with this disease.
Accelerated failure time model,life time,survival data,selection criteria,lung cancer
https://ijnaa.semnan.ac.ir/article_5003.html
https://ijnaa.semnan.ac.ir/article_5003_4172e22eb75064884df4f498dafebef7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
The existence of uniqueness non standard equilibrium problems
1251
1260
EN
Dhuha
M.
Abbas
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
dhuha935@gmail.com
Ayed E.
Hashoosh
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
ayed.hashoosh@utq.edu.iq
Wijdan
Saeed
Abed
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
wijdan.saeed.abd@gmail.com
10.22075/ijnaa.2021.5004
In this paper, the concept of $etaxi$-monotonous operator is explored using KKM mapping. The existence results and uniqueness dened on its bounded and unbounded domains are discussed. Our ndings improve and develop some well-known solutions in literature.
Monotonicity,Equilibrium problem set-valued mapping,Hemicoutinuity,KKM-mapping,Semi continuouse,convex function
https://ijnaa.semnan.ac.ir/article_5004.html
https://ijnaa.semnan.ac.ir/article_5004_51455a9bb3cbfd8e12e34b3d97cbb261.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
12
1
2021
02
01
Designing a multi-period credit portfolio optimization model a nonlinear multi-objective fuzzy mathematical modeling approach (Case study: Ansar banks affiliated to Sepah Bank)
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1277
EN
Ali Asghar
Tehranipour
Department of Financial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
ali.tehranippor54@gmail.com
Ebrahim
Abbasi
Department of Financial Management, Al-Zahra University, Tehran, Iran
masi2021arab@gmail.com
Hosein
Didehkhani
Department of Financial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
somayyeh2014arab@gmail.com
Aeash
Naderian
Department of Accounting, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
arashnaderian@yahoo.com
10.22075/ijnaa.2021.23118.2478
This study aims to design a multi-period credit portfolio optimization model with a nonlinear multi-objective fuzzy mathematical modeling approach. In terms of data collection, this study is a descriptive-survey research and in terms of the nature and purpose of the research, it is an applied one. The statistical population of the research includes all facility files of the last 10 years as well as the statements of financial position of Ansar Bank branches affiliated with Sepah Bank, selected by census method. The risk criteria used in the models include Average Value at Risk (AVaR), Conditional Value at Risk (CVAR) and Semi-Entropy. First, having reviewed the research literature, the objectives and indices of the portfolio optimization issue were investigated based on the practical character of this issue and the main indices were selected. Then, each of the objectives and constraints were specified in a state of uncertainty and ambiguity, based on the principles of fuzzy credibility theory, for a state in which the expected rate of stock return is a triangular fuzzy number. Finally, three multi-objective fuzzy models were designed based on the selected criteria. Research models were implemented using MOPSO algorithm. The software used in conducting the research was MATLAB software. The results indicated that the CVAR model performed better than the other two models, i.e. AVAR and Semi-Entropy, in evaluating optimal portfolios.
Banking,Iran,Credit Portfolio
https://ijnaa.semnan.ac.ir/article_5005.html
https://ijnaa.semnan.ac.ir/article_5005_5a9a2b10765d3471c05813c4c8be99e8.pdf