2021-12-05T18:09:13Z
https://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=528
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Covarian mappings and coupled fiexd point results in bipolar metric spaces
G.N.V.
Kishore
K.P.R.
Rao
Huseyin
IsIk
B.
Srinuvasa Rao
A.
Sombabu
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
2021
02
01
1
15
https://ijnaa.semnan.ac.ir/article_4650_e5bf5b0188d77d6970ba131242fedde0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A real time adaptive multiresolution adaptive Wiener filter based on adaptive neuro-fuzzy inference system and fuzzy evaluation
Ramzan
Abasnezhad Varzi
Javad
Vahidi
Homayun
Motameni
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
2021
02
01
17
26
https://ijnaa.semnan.ac.ir/article_4651_7f3f4a9bf38ac5c9f2273a207a4f41db.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A numerical solution of variable order diffusion and wave equations
Nematollah
Kadkhoda
Hossein
Jafari
R.M.
Ganji
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
2021
02
01
27
36
https://ijnaa.semnan.ac.ir/article_4652_5f0b8795fe57e648c2b3ec54b71f5e37.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics
Hassan
Kamil Jassim
Javad
Vahidi
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
2021
02
01
37
44
https://ijnaa.semnan.ac.ir/article_4653_333310b9c157555f2f7b292d61f95da3.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A meta-heuristic clustering method to reduce energy consumption in Internet of things
Ehsan
Heidari
Homayun
Motameni
Ali
Movaghar
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
2021
02
01
45
58
https://ijnaa.semnan.ac.ir/article_4657_3814331aca46a0fed014e98d5b27c04f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Linkage factors optimization of multi-outputs of compliant mechanism using response surface
Rami
Alfattani
Mohammed
Yunus
Turki
Alamro
Ibrahim
Alnaser
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
2021
02
01
59
74
https://ijnaa.semnan.ac.ir/article_4658_362234389ac000b2d052af105a7e4781.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Excellence of financial reporting information and investment productivity
Yidan
Zhu
Ernawati
Mustafa Kamal
Guosheng
Gao
Alim Al
Ayub Ahmed
A B M
Asadullah
Praveen Kumar
Donepudi
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
2021
02
01
75
86
https://ijnaa.semnan.ac.ir/article_4659_9ccd71f1f578ef006929956697b6d16a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Automatic QoS-aware web services composition based on set-cover problem
Morteza
Khani Dehnoi
Saeed
Araban
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
2021
02
01
87
109
https://ijnaa.semnan.ac.ir/article_4664_9768c09f62e15bf392531522635c1cf0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A method for analyzing the problem of determining the maximum common fragments of temporal directed tree, that do not change with time
Ali Rashid
Ibrahim
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
2021
02
01
111
118
https://ijnaa.semnan.ac.ir/article_4671_f0db175ac1a103cde51eb1d106c47aa9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Stability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
Sabah Hassan
Malih
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
2021
02
01
119
127
https://ijnaa.semnan.ac.ir/article_4681_291cfc34f11439151cec240ba6509a9e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Continuity in fundamental locally multiplicative topological algebras
Ali
Naziri-Kordkandi
Ali
Zohri
Fariba
Ershad
Bahman
Yousefi
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
2021
02
01
129
141
https://ijnaa.semnan.ac.ir/article_4685_4b0e7c7e78241d8d689080868dafd245.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Numerical solution of second order IVP by fuzzy transform method
Mostafa
Ghobadi
Mashallah
Matinfar
Tofigh
Allahviranloo
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
2021
02
01
143
156
https://ijnaa.semnan.ac.ir/article_4748_23a8bb179238aa8ad45a1359a9f1a3fc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A robust optimization approach for a multi-period location-arc routing problem with time windows: A case study of a bank
Atefeh
Kahfi
Seyed Mohammad
Seyed Hosseini
Reza
Tavakkoli-Moghaddam
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
2021
02
01
157
173
https://ijnaa.semnan.ac.ir/article_4752_80655ce3cb462e923fb5c55f2c35578f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A credible threat against oil sanctions for Iran
Abbas
Javadian
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
2021
02
01
175
178
https://ijnaa.semnan.ac.ir/article_4614_2e7d95e138482f4a990a04eafc4b9511.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A note on some new Hermite--Hadamard type inequalities for functions whose $n$th derivatives are strongly $eta$-convex
Seth
Kermausuor
Eze
Nwaeze
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
2021
02
01
179
187
https://ijnaa.semnan.ac.ir/article_4755_4d3346213b133f1bf57d1cad43347c1c.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Deep inference: A convolutional neural networks method for parameter recovery of the fractional dynamics
Nader
Biranvand
Amir Hossein
Hadian-Rasanan
Ali
Khalili
Jamal
Amani Rad
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
2021
02
01
189
201
https://ijnaa.semnan.ac.ir/article_4757_0fd3eaf2918d8b56e182e4bed2f0ec7e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On the dynamics of a nonautonomous rational difference equation
Mohamed Amine
Kerker
Elbahi
Hadidi
Abdelouahab
Salmi
In this paper, we study the following nonautonomous rational difference equation \[ y_{n+1}=\frac{\alpha_n+y_n}{\alpha_n+y_{n-k}},\quad n=0,1,..., \] where $\left\{\alpha_n\right\}_{n\geq0}$ 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
2020
12
21
203
213
https://ijnaa.semnan.ac.ir/article_4760_1b39eb0bf91814dd7663471a40aa4ff8.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Four step hybrid block method for the direct solution of fourth order ordinary differential equations
Raft
Abdelrahim
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
2021
02
01
215
229
https://ijnaa.semnan.ac.ir/article_4762_e5801eaa6bc57b99ed26ded6b23c3836.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces
Jeremiah
N. Ezeora
Chinedu
Izuchukwu
Akindele
A. Mebawondu
Oluwatosin
Mewomo
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
2021
02
01
231
244
https://ijnaa.semnan.ac.ir/article_4775_52dda3801cca237cd8cab6d74750ae31.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Some fixed point theorems for $alpha_{*}$-$psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations
Farzaneh
Lotfy
Jalal
Hassanzadeh Asl
Hassan
Refaghat
Recently Hamed H Alsulami et al introduced the notion of ($\alpha$-$\psi$)-rational type contractive mappings. They have been establish some fixed point theorems for the mappings in complete generalized metric spaces. In this paper, we introduce the notion of some fixed points theorems for $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations and give a common fixed point result about fixed points of the 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
2021
02
01
245
260
https://ijnaa.semnan.ac.ir/article_4776_20aa9cd39c80d9a1552afedb2cbe6685.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
An effective algorithm to solve option pricing problems
Mojtaba
Moradipour
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
2021
02
01
261
271
https://ijnaa.semnan.ac.ir/article_4782_29d13b4a8016fe2587deba487d223462.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On certain properties for new subclass of meromorphic starlike functions
Sirous
Moradi
Mohammad
Taati
In this paper we studying some properties of starlike function of order $\lambda$ which satisfy in the condition $$\Re(\frac{zf^{'}(z)}{f(z)}+\alpha\frac{z^{2}f^{''}(z)}{f(z)})<1-\lambda+\alpha$$ \\for all $z\in U=\{z:|z|<1\}$, where $f(z)=1+\sum_{k=1}^\infty a_{k}z^{k}$ is analytic in $U$, $0\leqslant\alpha<2$ and $0\leqslant\lambda<1$. Our results extend previos results given by Aghalary et al. (2009) and Wang et al.(2014).
Starlike function
Meromorphic function
Hadamard product
Analytic function
2021
02
01
273
285
https://ijnaa.semnan.ac.ir/article_4783_9e77a5a8c782a524897a3c266d8ab3ce.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A generalization of Darbo's theorem with application to the solvability of systems of integral-differential equations in Sobolev spaces
Hojjatollah
Amiri Kayvanloo
Mahnaz
Khanehgir
Reza
Allahyari
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
2021
02
01
287
300
https://ijnaa.semnan.ac.ir/article_4784_690b0b82e08a2f61e248755fad00d3bc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On the efficient of adaptive methods to solve nonlinear equations
Vali
Torkashvand
Reza
Ezzati
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
2021
02
01
301
316
https://ijnaa.semnan.ac.ir/article_4799_2486d12e3e7c80f0885a4c92cac99308.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Positive solutions for fractional-order nonlinear boundary value problems on infinite interval
Ilkay
Yaslan Karaca
Dondu
Oz
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
2021
02
01
317
335
https://ijnaa.semnan.ac.ir/article_4800_e83c81a1eb100dd3f6a255886f3cfffc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Multi-point boundary value problems of higher-order nonlinear fractional differential equations
İsmail
Yaslan
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
2021
02
01
337
349
https://ijnaa.semnan.ac.ir/article_4803_4511ae2fc43f0aad4317468f381170c6.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Comparative analysis of parallel algorithms for solving oil recovery problem using CUDA and OpenCL
Timur
Imankulov
Beimbet
Daribayev
Saltanbek
Mukhambetzhanov
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
2021
02
01
351
364
https://ijnaa.semnan.ac.ir/article_4809_c9b04249a27c7bd88c4f470a764ae938.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Stable numerical solution of an inverse coefficient problem for a time fractional reaction-diffusion equation
Afshin
Babaei
Seddigheh
Banihashemi
Javad
Damirchi
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
2021
02
01
365
383
https://ijnaa.semnan.ac.ir/article_4810_90e09995a95326704ffd3e3a9f412293.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A new approach for solution of telegraph equation
Mohammad
Zarebnia
Reza
Parvaz
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
2021
02
01
385
396
https://ijnaa.semnan.ac.ir/article_4811_447de8367d33681e105770b963322895.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On $J$-class $C_0$-semigroups of operators
Mohammad
Janfada
Abolfazl
Nezhadali Baghan
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
2021
02
01
397
403
https://ijnaa.semnan.ac.ir/article_4812_47a04f86d42c188bb9fe67c0af8f9756.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Existence Theory for Higher-Order Nonlinear Ordinary Differential Equations with Nonlocal Stieltjes Boundary Conditions
Bashir
Ahmad
Ahmed
Alsaedi
Nada
Al-Malki
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
2021
02
01
405
417
https://ijnaa.semnan.ac.ir/article_4813_af96677d1c9a565b6fa37d6010540ac0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
The effect of changes in sealing wall and horizontal drainage of Golfaraj dam on the values of lifting pressure parameters and maximum outlet gradient
Kambiz
Mashkabadi
Yousef
Zandi
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. 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 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. 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
2021
02
01
419
432
https://ijnaa.semnan.ac.ir/article_4815_a02900205779e71570df4a951fc5a3e4.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Stochastic approach for noise analysis and parameter estimation for RC and RLC electrical circuits
Parisa
Nabati
Rahman
Farnoosh
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
2021
02
01
433
444
https://ijnaa.semnan.ac.ir/article_4820_471c1a66b3a88830befae95949607263.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A modified optimization method for optimal control problems of continuous stirred tank reactor
Mitra
Salimi
Akbar
Hashemi Borzabadi
Seyed Hamed
Hashemi Mehne
Aghileh
Heydari
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
2021
02
01
445
459
https://ijnaa.semnan.ac.ir/article_4823_7d627c9fd5e0da83d23591968bf53ad7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
E-Bayesian estimation of parameters of inverse Weibull distribution based on a unified hybrid censoring scheme
Shahram
Yaghoubzadeh Shahrestani
Reza
Zarei
Parviz
Malekzadeh
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
2021
02
01
461
472
https://ijnaa.semnan.ac.ir/article_4825_10f89980fb858926b68a8c0b734deadf.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
The arrow domination in graphs
Suha
Radhi
Mohammed
A. Abdlhusein
Ayed
Hashoosh
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
2021
02
01
473
480
https://ijnaa.semnan.ac.ir/article_4826_42c285f3e89b71c3d8bd1ca05f9add6e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Solution of a generalized two dimensional fractional integral equation
Dipankar
Saha
Mausumi
Sen
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
2021
02
01
481
492
https://ijnaa.semnan.ac.ir/article_4827_8bfb185f0866fecd035d012db71219f2.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
An overview of Bayesian prediction of future record statistics using upper record ranked set sampling scheme
Ehsan
Golzade Gervi
Parviz
Nasiri
Mahdi
Salehi
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
2021
02
01
493
507
https://ijnaa.semnan.ac.ir/article_4828_69671730b85097e24b6c7ee1be255c3c.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On the $Phi$-reflexive property of $(X,Upsilon)$-structures
Akbar
Dehghanezhad
Saman
Shahriyari
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
2021
02
01
509
519
https://ijnaa.semnan.ac.ir/article_4829_f1ca842346574a91f82c113b120dd77d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A discrete problem involving the $p(k)-$ Laplacian operator with three variable exponents
Mohamed
Ousbika
Zakaria
El Allali
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
2021
02
01
521
532
https://ijnaa.semnan.ac.ir/article_4834_e97a56742c59782f17b3392f6e4b118b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Stability of fuzzy orthogonally $*$-$n$-derivation in orthogonally fuzzy $C^*$-algebras
Najmeh
Ansari
Mohammad Hadi
Hooshmand
Madjid
Eshaghi Gordji
Khadijeh
Jahedi
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)
=2\mu f(x)-2\mu f(y)-2\mu f(w).
\end{split}
\end{align*}
Stability
Fixed point approach
$*$-$n$-derivation, Fuzzy $C^*$-algebra
2021
02
01
533
540
https://ijnaa.semnan.ac.ir/article_4835_5fe9c263665a90af44bd19ed27262b3a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Gr$ddot{u}$ss type integral inequalities for a new class of $k$-fractional integrals
Sidra
Habib
Ghulam
Farid
Shahid
Mubeen
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.
$k$-fractional conformable integrals
Fractional integral inequalities
Gr$ddot{u}$ss inequality
2021
02
01
541
554
https://ijnaa.semnan.ac.ir/article_4836_e15ed148378446840ed274c79f679db6.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Numerical approach for reconstructing an unknown source function in inverse parabolic problem
Javad
Damirchi
Ali
Janmohammadi
Masoud
Hasanpour
Reza
Memarbashi
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
2021
02
01
555
566
https://ijnaa.semnan.ac.ir/article_4838_496e4e6a073741055c55d2a744122094.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On starlike functions related with the convex conic domain
Rahim
Kargar
Janusz
Sokol
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
2021
02
01
567
573
https://ijnaa.semnan.ac.ir/article_4839_690dc5fcd2c073f0de54ca5ddda44681.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On the system of double equations with three unknowns $d+ay+bx+cx^2=z^2 , y+z=x^2$
Mayilrangam
Gopalan
Aarthy
Thangam
Ozen
Ozer
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
2021
02
01
575
581
https://ijnaa.semnan.ac.ir/article_4840_2a545748e3856e524f51432113394a15.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Existence of solutions of system of functional-integral equations using measure of noncompactness
Hemant
Nashine
Reza
Arab
Ravi
Agarwal
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
2021
02
01
583
595
https://ijnaa.semnan.ac.ir/article_4847_3ef2e986f8037f28dfd9791dcb68dbd1.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Ciric type multi-valued $alpha _{ast }$-$eta _{ast }$-$theta $-contractions on b-metric spaces with applications
Eskandar
Ameer
Hassen
Aydi
Muhammad
Arshad
Aftab
Hussain
Abdul
Khan
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.
2021
02
01
597
614
https://ijnaa.semnan.ac.ir/article_4865_c6adb98b142ca002cb71478968176010.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On generalized $Phi$-strongly monotone mappings and algorithms for the solution of equations of Hammerstein type
Mathew
Aibinu
Oluwatosin
Mewomo
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
2021
02
01
615
632
https://ijnaa.semnan.ac.ir/article_4866_ad5d2a21a89586ae81e2b41701e58659.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Investigating the dynamics of Lotka$-$Volterra model with disease in the prey and predator species
Atena
Ghasemabadi
Mohammad Hossien
Rahmani Doust
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
2021
02
01
633
648
https://ijnaa.semnan.ac.ir/article_4867_4831f3112817a66f9e558b0b7d401125.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials
Souhila
Boughaba
Nabiha
Saba
Ali
Boussayoud
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
2021
02
01
649
668
https://ijnaa.semnan.ac.ir/article_4868_1f8efea5e0830aaeeea93da32b381e23.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
The semi-obnoxious minisum circle location problem with Euclidean norm
Mehraneh
Gholami
Jafar
Fathali
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
2021
02
01
669
678
https://ijnaa.semnan.ac.ir/article_4869_42ebf726b5dc93e5d0a99ef7b8525b66.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
An existence result of three solutions for a $mathbf{2n}$-th-order boundary-value problem
Osman
Halakoo
Mahdi
Azhini
Ghasem
Afrouzi
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
2021
02
01
679
691
https://ijnaa.semnan.ac.ir/article_4870_c9e5b798070456e50858e60dc60b9838.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Cystoscopic image classification by an ensemble of VGG-nets
Ehsan
Kozegar
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
2021
02
01
693
700
https://ijnaa.semnan.ac.ir/article_4876_84b5959108e6a83053f86305d7229b63.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Outlier detection in test samples and supervised training set selection
Navid
Mohseni
Hossein
Nematzadeh
Ebrahim
Akbari
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
2021
02
01
701
712
https://ijnaa.semnan.ac.ir/article_4878_5894efa0a77479f846519520fb0752e2.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Perfect 3-colorings of Heawood graph
Mehdi
Alaeiyan
2020
01
08
713
717
https://ijnaa.semnan.ac.ir/article_4909_6ec9aa7e809a20d96d28ae7a2ce2a82b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On new classes of neutrosophic continuous and contra mappings in neutrosophic topological spaces
Nadia M.
Ali Abbas
Shuker
Khalil
neutrosophic sets
neutrosophic topological space
neutrosophic $alpha$ -open sets
neutrosophic $alpha^{*}$ -open set
2021
02
01
718
725
https://ijnaa.semnan.ac.ir/article_4910_f0deb9709de757ec48d25404598ce8ec.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Fuzzy co-even domination of strong fuzzy graphs
Ahmed
A. Omran
Thaer
A. Ibrahim
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
2021
02
01
726
734
https://ijnaa.semnan.ac.ir/article_4934_08a2aa9a5f7610098dd35d4ee90d68a9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and non-Archimedean normed spaces
Hashem
P. Masiha
Hamid
Mamghaderi
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
2021
02
01
735
740
https://ijnaa.semnan.ac.ir/article_4920_4e2e2b486a6ce2734d2a8ed48716145d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Fixed point of set-valued graph contractions in metric spaces
Masoud
Ghods
Masoud
Hadian Dehkordi
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 $G,$ $E(G)\subseteq X\times X.$
Fixed point
multivalued
(G-$psi$) contraction
directed graph
2021
02
01
741
747
https://ijnaa.semnan.ac.ir/article_4922_759ff14442b0c3e3c892afa301fe507a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On complex valued $G_b$-metric spaces and related fixed point theorems
Chakkrid
Klin-eam
Cholatis
Suanoom
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
2021
02
01
748
760
https://ijnaa.semnan.ac.ir/article_4933_2023da914726d21a575c61404da261ae.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A simple, efficient and accurate new Lie--group shooting method for solving nonlinear boundary value problems
S
Abbasbandy
M.
Hajiketabi
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
2021
02
01
761
781
https://ijnaa.semnan.ac.ir/article_4935_f37db0b0097878dfc8190392fd192183.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New Hermite-Hadamard type inequalities on fractal set
Tuba
Tunc
Huseyin
Budak
Fuat
Usta
Mehmet
Zeki Sarikaya
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
2021
02
01
782
789
https://ijnaa.semnan.ac.ir/article_3097_5372cc915c3358caeeccef87ff8a2101.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Characterizations of the set containment with star-shaped constraints
Arian
Hedayat
Hossein
Mohebi
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 $\nu$-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
2021
02
01
790
811
https://ijnaa.semnan.ac.ir/article_3533_309418436f44ce75503bcaea860db887.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations
Hassan Kamil
Jassim
Mayada Gassab
Mohammed
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
2021
02
01
812
820
https://ijnaa.semnan.ac.ir/article_4936_fba1a9499f3844a5d3b42d9c8a3ac4c3.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New formula to calculate the number of designs in RADG cryptosystem
Laith M
Kadhum
Ahmad
Firdaus
Mohamad Fadli
Zolkiplib
Luay
Saferalia
Mohd Faizal
Ab Razaka
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
2021
02
01
821
829
https://ijnaa.semnan.ac.ir/article_4937_b6e64e5cff8598689fde19555e463fac.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New optimization algorithm to improve numerical integration method
Inaam
Rikan Hassan
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
2021
02
01
830
837
https://ijnaa.semnan.ac.ir/article_4938_0e88b1d35dd7765f25276ce1efd794de.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Numerical simulation of arterial pulse propagation using autonomous models
Mayada G.
Mohammed
Hassan Kamil
Jassim
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
2021
02
01
838
846
https://ijnaa.semnan.ac.ir/article_4939_3fdbe2ed18a354cf4e977fdeef9536ad.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New subclass of analytic functions defined by subordination
Hossein
Naraghi
Parvaneh
Najmadi
Bahman
Taherkhani
By using the subordination relation $"\prec"$, we introduce an interesting subclass of analytic functions as follows: \begin{equation*} \mathcal{S}^*_{\alpha}:=\left\{f\in \mathcal{A}:\frac{zf'(z)}{f(z)}\prec \frac{1}{(1-z)^\alpha},\ \ |z|<1\right\}, \end{equation*} where $0<\alpha\leq1$ 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
2021
02
01
847
855
https://ijnaa.semnan.ac.ir/article_4940_a768d0ff6e35a2d3a84f5ec180873130.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Fractal transforms for fuzzy valued images
M
Rajkumar
R.
Uthayakumar
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
2021
02
01
856
868
https://ijnaa.semnan.ac.ir/article_4941_12e56a3a3d1a9b750e1028d4cf8537e5.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Classification of problems of determining the maximum common fragments for two structures of a temporal digraph
Ali
Ibrahim
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 $t_{i} G, t_{j} G\left(M C F\left(t_{i} G, t_{j} G\right)\right)$ 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
2021
02
01
869
875
https://ijnaa.semnan.ac.ir/article_4942_59522f789923050dbd9f007f0f3a3ceb.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Infinitesimal generators of Lie symmetry group of parametric ordinary differential equations
Abdolali
Basiri
Sajjad
Rahmani
Malihe baigom
Mirkarim
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
2021
02
01
877
891
https://ijnaa.semnan.ac.ir/article_4943_ac762b1af562b641f21fa5b9e84675a7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On existence of solutions for some nonlinear fractional differential equations via Wardowski-Mizoguchi-Takahashi type contractions
Vahid
Parvaneh
Babak
Mohammadi
Manuel
De la Sen
Esmaeil
Alizadeh
Hemant
Nashine
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
2021
02
01
893
902
https://ijnaa.semnan.ac.ir/article_4944_3c9554ed75e193e8df955557db13a4e1.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations
Youssef
Touail
Driss
El Moutawakil
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
2021
02
01
903
911
https://ijnaa.semnan.ac.ir/article_4945_5725588076eaae26bc1b9c2b2b322155.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Maximal ideal graph of commutative semirings
Ahmed H.
Alwan
Semiring
Maximal ideal
The maximal ideal graph
Connectedness
Diameter
Girth
Planar property
2021
02
01
913
926
https://ijnaa.semnan.ac.ir/article_4946_0572d5fd15423618c684bc6d4213633a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On sum of range sets of sum of two maximal monotone operators
Dillip
Pradhan
In the setting of non-reflexive spaces (Grothendieck Banach spaces), we establish (1) ran (A+B)=ran A+ran B (2) int (ran (A+B))=int(ran A+ran B). 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
2021
02
01
927
934
https://ijnaa.semnan.ac.ir/article_4947_6d9977d8ebb77720a92bc14347edecaf.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Parameter estimation of inverse exponential Rayleigh distribution based on classical methods
Mayssa J.
Mohammed
Ali T.
Mohammed
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
2021
02
01
935
944
https://ijnaa.semnan.ac.ir/article_4948_df887f66a99591be3c518f8b7343221f.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings
Artion
Kashuri
Rozana
Liko
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
2021
02
01
945
962
https://ijnaa.semnan.ac.ir/article_4949_2df31abbbef3aa4e9fa97709a07ca13a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Generalized Suzuki $(psi,phi)$-contraction in complete metric spaces
Akindele
Mebawondu
Iyanu
Mebawondu
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
2021
02
01
963
978
https://ijnaa.semnan.ac.ir/article_4950_444c2885536fa61fe9f128b65f75d545.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
New estimates of Gauss-Jacobi and trapezium type inequalities for strongly $(h_{1},h_{2})$-preinvex mappings via general fractional integrals
Artion
Kashuri
Rozana
Liko
Muhammad
Ali
Huseyin
Budak
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
2021
02
01
979
996
https://ijnaa.semnan.ac.ir/article_4951_44ccb936f00e77ef9a0a494cba86cb3e.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Subordination and superordination results of multivalent functions associated with the Dziok-Srivastava operator
Tamer
Seoudy
M. K.
Aouf
Teodor
Bulboacă
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
2021
02
01
997
1008
https://ijnaa.semnan.ac.ir/article_4952_0d287353b35ea8f069476cddc3fe354b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Stability of Inverse Pitchfork Domination
Mohammed A.
Abdlhusein
dominating set
pitchfork domination
inverse pitchfork domination
2021
02
01
1009
1016
https://ijnaa.semnan.ac.ir/article_4956_034bf33163b63b47147524e23f004cc0.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Some estimation procedures of the PDF and CDF of the generalized inverted Weibull distribution with comparison
Ezzatallah
Baloui Jamkhaneh
Mortaza
Ghasemi Cherati
Einolah
Deiri
Different estimation procedures for the probability density and cumulative distribution functions 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
2021
02
01
1017
1036
https://ijnaa.semnan.ac.ir/article_4957_2eb8e359d0951f2e7dec042933cc55c5.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A new Robust algorithm for penalized regression splines based on mode-estimation
Ahmed
Eldeeb
Sabreen
Desoky
Mohamed
Ahmed
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
2021
02
01
1037
1055
https://ijnaa.semnan.ac.ir/article_4971_da58a6e6cefd63c8d4f3a7133458c209.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Gerghaty type results via simulation and $mathcal{C}$-class functions with application
Azhar
Hussain
Muhammad
Ishfaq
Tanzeela
Kanwal
Stojan
Radenovic
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
2021
02
01
1057
1071
https://ijnaa.semnan.ac.ir/article_4972_22590e17b4a3b2d6c5bcc859101c6352.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Proposing a lower bound for a nonlinear scheduling problem in supply chain
Mohammad Ali
Beheshtinia
Amir
Ghasemi
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
2021
02
01
1073
1085
https://ijnaa.semnan.ac.ir/article_4973_2c583f562cf8120b161175f55ec5b6b5.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Analysis and control of a 4D hyperchaotic system with passive control
Selcuk
Emiroglu
Yılmaz
Uyaroğlu
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
2021
02
01
1087
1095
https://ijnaa.semnan.ac.ir/article_4974_bdb5fbe3fc99761cabd4aaf2b5fa88b7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Anti-N-order polynomial Daugavet property on Banach spaces
John
Emenyu
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 belong to the approximate spectra.
Banach spaces
local and uniform convexity
polynomials
N-order polynomial Daugavet equation
anti-N-order Daugavet property
2021
02
01
1097
1105
https://ijnaa.semnan.ac.ir/article_4975_dcbcd4a6a92b6b490dbbbb5250a63af9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On $alpha^{*}-$continuous and contra $alpha^{*}-$continuous mappings in topological spaces with soft setting
Nadia M.
Ali Abbas
Shuker
Khalil
Alaa
Abdullah Hamza
In this work, some new connotations of continuous mappings such as $\alpha^{*}$ - continuous mapping $\left(\alpha^{*}-C M\right),$ irresolute $\alpha^{*}-$mapping $\left(I \alpha^{*}-C M\right),$ and strongly $\alpha^{*}-$ continuous mapping $\left(S \alpha^{*}-C M\right)$ 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 $\left(C \alpha^{*}-C M\right)$.
alpha-$open sets
$alpha^{*}-$open sets
$alpha^{*}$-regular spaces
2021
02
01
1107
1113
https://ijnaa.semnan.ac.ir/article_4980_7a2be019b99992d7dcfb4a69872de255.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On subgroups of the unitary group especially of degree 2
Shakir
Sabbar
Agus
Widodo
Noor
Hidayat
Abdul
Alghofari
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
2021
02
01
1115
1121
https://ijnaa.semnan.ac.ir/article_4981_7eaf4a69f8bbfe438e643f8155c095e4.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
A family of parallel quasi-Newton algorithms for unconstrained minimization
Abdel-Rahman
Ahmed
Mohamed
Salim
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
2021
04
05
1123
1133
https://ijnaa.semnan.ac.ir/article_4976_17be98347a5597f3d5e3c3f6581d5dbd.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Integrated three layer supply chain inventory model for price sensitive and time dependent demand with suggested retail price by manufacturer
Uttam
Khedlekar
Atmaram
Nigwal
N. K.
Khedlekar
H. K.
Patel
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
2021
02
01
1135
1152
https://ijnaa.semnan.ac.ir/article_4979_2af6684962a9fe2f23b78c802161d03d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Asymptotic behavior of generalized quadratic mappings
Hark
Mahn Kim
Ick-Soon
Chang
We show in this paper that a mapping $f$ satisfiesthe following functional equation\begin{eqnarray*}\biguplus_{x_2,\cdots,x_{d+1}}^{d}f(x_1) = 2^{d} \sum_{i=1}^{d+1}f(x_i),\end{eqnarray*}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
2021
02
01
1153
1165
https://ijnaa.semnan.ac.ir/article_4982_5b3e194d24ecb0652e5701b2e1f1cc37.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On a more accurate Hardy-Hilbert's inequality in the whole plane
Qiliang
Huang
Bicheng
Yang
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
2021
02
01
1167
1179
https://ijnaa.semnan.ac.ir/article_4983_ec7cc13daefbd27ff1622c504cc9403d.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
The extended tanh method for solving conformable space-time fractional KdV equations
Handan
Yaslan
Ayşe
Girgin
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
2021
02
01
1181
1194
https://ijnaa.semnan.ac.ir/article_4984_0449877241e27133cc44c4b8e3fc39e9.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Initial value problem for a fractional neutral differential equation with infinite delay
Mohammed
Abdo
Satish
Panchal
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
2021
02
01
1195
1206
https://ijnaa.semnan.ac.ir/article_4985_734de37646b5ab19c7135299c1743c94.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On a class of nonlinear parabolic equations with natural growth in non-reflexive Musielak spaces
Bourahma
Mohamed
Deval
Sidi Mohamed
Bennouna
Jaouad
Abdelmoujib
Benkirane
An existence result of renormalized solutions for nonlinear parabolic Cauchy-Dirichlet problems whose model $$\left\{\begin{array}{ll} \displaystyle\frac{\partial b(x,u)}{\partial t} -\mbox{div}\>\mathcal{A}(x,t,u,\nabla u)-\mbox{div}\> \Phi(x,t,u)= f &\mbox{ in }\Omega\times (0,T)\\ b(x,u)(t=0)=b(x,u_0) & \mbox{ in } \Omega\\ u=0 &\mbox{ on } \partial\Omega\times (0,T). \end{array}\right. $$ is given in the non reflexive Musielak spaces, where $b(x,\cdot)$ is a strictly increasing $C^1$-function for every $x\in\Omega$ 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
2021
02
01
1207
1233
https://ijnaa.semnan.ac.ir/article_4990_c17186d8e0c3622b698ec11c39c77d38.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
On soft $b^*$-closed sets in soft topological space
Saif Z.
Hameed
Fayza A.
Ibrahem
Essam A.
El-Seidy
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
2021
02
01
1235
1242
https://ijnaa.semnan.ac.ir/article_5002_709aeaf41feff09903e9df0f6673f671.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Application of the accelerated failure time model to lung cancer data
Akam Ali
Othman
Sabah Haseeb
Hasan
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
2021
02
01
1243
1250
https://ijnaa.semnan.ac.ir/article_5003_4172e22eb75064884df4f498dafebef7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
The existence of uniqueness non standard equilibrium problems
Dhuha
Abbas
Ayed E.
Hashoosh
Wijdan
Abed
In this paper, the concept of $\eta\xi$-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
2021
02
01
1251
1260
https://ijnaa.semnan.ac.ir/article_5004_51455a9bb3cbfd8e12e34b3d97cbb261.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2021
12
1
Designing a multi-period credit portfolio optimization model a nonlinear multi-objective fuzzy mathematical modeling approach (Case study: Ansar banks affiliated to Sepah Bank)
Ali Asghar
Tehranipour
Ebrahim
Abbasi
Hosein
Didehkhani
Aeash
Naderian
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
2021
02
01
1261
1277
https://ijnaa.semnan.ac.ir/article_5005_5a9a2b10765d3471c05813c4c8be99e8.pdf