2021
12
1
0
0
1

Covarian mappings and coupled fiexd point results in bipolar metric spaces
https://ijnaa.semnan.ac.ir/article_4650.html
10.22075/ijnaa.2021.4650
1
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.
0

1
15


G.N.V.
Kishore
Department of Engineering Mathematics, Sagi Rama Krishnam Raju Engineering College, Chinamiram, Bhimavaram 534
204, Andhra Pradesh, India
India
kishore.apr2@gmail.com


K.P.R.
Rao
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur  522 510, Andhra Pradesh, India
India


Huseyin
IsIk
Department of Mathematics, Mus Alparslan University, 49250 Mus, Turkey
Turkey


B.
Srinuvasa Rao
Department of Mathematics, Dr. B. R. Ambedkar University, Srikakulam, Etcherla, Andhra Pradesh 532410, Andhra
Pradesh, India
India


A.
Sombabu
Department of Mathematics, Sasi Institute of Technology & Engineering, Sasi College Road, West Godavari District, near
Aerodrome, Tadepalligudem, Andhra Pradesh 534101, India
India
somu.mphil@gmail.com
Bipolar metric space
$omega$compatible mappings
Completeness
Common coupled fixed point
1

A real time adaptive multiresolution adaptive Wiener filter based on adaptive neurofuzzy inference system and fuzzy evaluation
https://ijnaa.semnan.ac.ir/article_4651.html
10.22075/ijnaa.2021.4651
1
In this paper, a realtime 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, TVL1, 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.
0

17
26


Ramzan
Abasnezhad Varzi
Department of Computer Engineering, Babol Branch, Islamic Azad University, Babol, Iran.
Iran


Javad
Vahidi
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.
Iran
j.vahidi@iust.ac.ir


Homayun
Motameni
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran.
Iran
h_motameni@yahoo.com
Genetic algorithm
denoising
Fuzzy deduction system
Image processing
wavelet transformation
adaptive bilateral filters
adaptive neurofuzzy inference system
1

A numerical solution of variable order diffusion and wave equations
https://ijnaa.semnan.ac.ir/article_4652.html
10.22075/ijnaa.2021.4652
1
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.
0

27
36


Nematollah
Kadkhoda
Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran.
Iran


Hossein
Jafari
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa.
Iran
jafari@umz.ac.ir


R.M.
Ganji
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
Iran
Variable order diffusion and wave equations
Genocchi polynomials
Operational matrix
Collocation method
1

A new technique of reduce differential transform method to solve local fractional PDEs in mathematical physics
https://ijnaa.semnan.ac.ir/article_4653.html
10.22075/ijnaa.2021.4653
1
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.
0

37
44


Hassan
Kamil Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of ThiQar, Nasiriyah, Iraq.
Iran


Javad
Vahidi
Department of Mathematics, Iran University of Science and Technology, Tehran 1684613114, Iran.
Department of Mathematical Sciences, University of South Africa, Pretoria 0002, South Africa.
Iran
j.vahidi@iust.ac.ir
Local fractional RDTM
Diffusion equation, KleinGordon equation, Schrodinger equation, Nonlinear gas dynamic equation, Local fractional derivative operators
1

A metaheuristic clustering method to reduce energy consumption in Internet of things
https://ijnaa.semnan.ac.ir/article_4657.html
10.22075/ijnaa.2021.4657
1
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 metaheuristic 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.
0

45
58


Ehsan
Heidari
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
Iran
heidaari@gmail.com


Homayun
Motameni
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
Iran
h_motameni@yahoo.com


Ali
Movaghar
Department of Computer Engineering, Sharif University of Technology, Tehran, Iran
Iran
movaghar@sharif.edu
Internet of Things
Clustering
routing
Energy consumption
whale optimization algorithm
1

Linkage factors optimization of multioutputs of compliant mechanism using response surface
https://ijnaa.semnan.ac.ir/article_4658.html
10.22075/ijnaa.2021.4658
1
This paper presents a linkage factors synthesis and multilevel optimization technique for bistable compliant mechanism. The linkage synthesis problem is modeled as multiple level factors and responses optimization problem with constraints. The bistable compliant mechanism is modeled as a crank slider mechanism using pseudorigidbody model (PRBM). The model exerts the large deflection of flexible element which explains compliant mechanism’s bistable 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 (Thetacap 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 BoxBehnken design of RSM is applied with a desirability function approach to determine the optimum set of parameters for minimizing Fmax and maximizing the Thetacap (Θ1). Thus, this technique shown flexibility based on the product application could be tested and established.
0

59
74


Rami
Alfattani
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm AlQura University,
Makkah, Kingdom of Saudi Arabia
Saudi Arabia


Mohammed
Yunus
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm AlQura University,
Makkah, Kingdom of Saudi Arabia
Saudi Arabia
yunus.mohammed@rediffmail.com


Turki
Alamro
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm AlQura University,
Makkah, Kingdom of Saudi Arabia
Saudi Arabia


Ibrahim
Alnaser
Department of Mechanical Engineering, College of Engineering and Islamic Architecture, Umm AlQura University,
Makkah, Kingdom of Saudi Arabia
Saudi Arabia
ianaser@uqu.edu.sa
ANOVA
Compliant Mechanism
Particle swarm optimization
Linkage Design Factors
Surface Plots
1

Excellence of financial reporting information and investment productivity
https://ijnaa.semnan.ac.ir/article_4659.html
10.22075/ijnaa.2021.4659
1
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 firmyears and are made up of 257 subsamples of underinvestment and 411 subsamples 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 subsamples) has a positive association with investment performance. Although the evidence is not consistent across subsamples, 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.
0

75
86


Yidan
Zhu
School of Housing, Building and Planning, Universiti Sains Malaysia (USM), Malaysia
Malaysia


Ernawati
Mustafa Kamal
School of Housing, Building and Planning, Universiti Sains Malaysia (USM), Malaysia
Malaysia


Guosheng
Gao
School of Physics, Universiti Sains Malaysia (USM), Malaysia
Malaysia


Alim Al
Ayub Ahmed
School of Accounting, Jiujiang University, Jiujiang, Jiangxi, China
China


A B M
Asadullah
Kulliyyah of Economics and Management Sciences, International Islamic University Malaysia (IIUM), Malaysia.
Malaysia


Praveen Kumar
Donepudi
Enterprise Architect, Information Technology, USTGlobal, Inc., Ohio, USA
United States
financial expansion
financial information
investment adeptness
1

Automatic QoSaware web services composition based on setcover problem
https://ijnaa.semnan.ac.ir/article_4664.html
10.22075/ijnaa.2021.4664
1
By definition, webservices composition works on developing merely optimum coordination among a number of available webservices to provide a new composed webservice intended to satisfy some users requirements for which a single web service is not (good) enough. In this article, the formulation of the automatic webservices composition is proposed as several setcover problems and an approximation algorithm has been exploited to solve them. In proposed method, the webservice composition has been carried out within two main phases, the topdown expansion of the composition tree, and the production of composed service by bottomup 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 postconditions of the requested service towards its input or preconditions. 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 nonleaf node of the tree, a setcover problem is produced and solved using a greedy approximation algorithm. If the production and solving of the setcover 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 nearoptimal and QoSaware composed services.
0

87
109


Morteza
Khani Dehnoi
Department of Computer Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
Iran


Saeed
Araban
Department of Computer Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Iran
Web Services
Composed Services
Setcover Problem
Approximation Algorithm
1

A method for analyzing the problem of determining the maximum common fragments of temporal directed tree, that do not change with time
https://ijnaa.semnan.ac.ir/article_4671.html
10.22075/ijnaa.2021.4671
1
In this study two actual types of problems are considered and solved: 1) determining the maximum common connected fragment of the Ttree (Tdirected tree) which does not change with time; 2) determining all nonisomorphic maximum common connected fragments of the Ttree (Tdirected 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.
0

111
118


Ali Rashid
Ibrahim
Department of Applied Mathematics, College of Science University of Anbar, Ramadi, Iraq
Iran
maximum common fragments
temporal tree
temporal directed tree
methods of solution
graphdynamics
1

Stability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
https://ijnaa.semnan.ac.ir/article_4681.html
10.22075/ijnaa.2021.4681
1
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.
0

119
127


Sabah Hassan
Malih
Department of mathematics, college of Education for pure science (Ibn ALHaitham), university of Baghdad, Iraq.
Iran
Separable Banach space
pointwise asymptotically nonexpansive random operator
random fixed point
1

Continuity in fundamental locally multiplicative topological algebras
https://ijnaa.semnan.ac.ir/article_4685.html
10.22075/ijnaa.2019.13751.1715
1
Abstract. In this paper, we first derive specific results concerning the continuity and upper semicontinuity 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.
0

129
141


Ali
NaziriKordkandi
Department of Mathematics, Payame Noor University,Iran
Iran
ali_naziri@pnu.ac.ir


Ali
Zohri
Department of Mathematics, Payame Noor University,Iran
Iran
zohri_a@pnu.ac.ir


Fariba
Ershad
Department of Mathematics, Payame Noor University,Iran
Iran
fershad@pnu.ac.ir


Bahman
Yousefi
Department of Mathematics, Payame Noor University,Iran
Iran
b_yousefi@pnu.ac.ir
Keywords: FLM algebra
continuity
spectral radius
spectrum function
homomorphism
1

Numerical solution of second order IVP by fuzzy transform method
https://ijnaa.semnan.ac.ir/article_4748.html
10.22075/ijnaa.2020.21716.2289
1
In this paper, we employed fuzzy transforms to present a new method for solving the problem through secondorder fuzzy initial value. The advantage of the fuzzy transform method is that, unlike other methods (e.g. highorder fuzzy Taylor series), it does not require any higherorder 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.
0

143
156


Mostafa
Ghobadi
mazandaran university
Iran
ghobadi_mostafa90@yahoo.com


Mashallah
Matinfar
Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran.
Iran
m.matinfar@umz.ac.ir


Tofigh
Allahviranloo
Faculty of engineering and natural sciences, Bahcesehir university, Istanbul, Turkey.
Iran
tofigh.allahviranloo@istinye.edu.tr
differential equations
Second order initial value problem (IVP)
Fuzzy transform method
1

A robust optimization approach for a multiperiod locationarc routing problem with time windows: A case study of a bank
https://ijnaa.semnan.ac.ir/article_4752.html
10.22075/ijnaa.2019.16392.1868
1
A LocationArc Routing Problem (LARP) is a practical problem, while a few mathematical programming models have been considered for this problem. In this paper, a mixed nonlinear programming model is presented for a multiperiod 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 nodebased with close nods and can be transformed into arcbased. 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.
0

157
173


Atefeh
Kahfi
Department of Industrial Engineering, College of Engineering, University of Payame Noor, Tehran, Iran
Iran
atefehkahfi2009@gmail.com


Seyed Mohammad
Seyed Hosseini
School of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran
Iran
seyedhosseini@iust.ac.ir


Reza
TavakkoliMoghaddam
School of Industrial Engineering, College of Engineering, University of Tehran, P.O. Box: 111554563, Tehran, Iran
Iran
tavakoli@ut.ac.ir
Locationarc routing problem
Time windows
Multiperiods
robust optimization
demand uncertainty
1

A credible threat against oil sanctions for Iran
https://ijnaa.semnan.ac.ir/article_4614.html
10.22075/ijnaa.2020.19232.2068
1
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.
0

175
178


Abbas
Javadian
Faculty of Physics, Semnan University,
P. O. Box 35195363, Semnan, Iran.
Iran
ajavadian@semnan.ac.ir
game theory
politics
JCPOA
Iran
the United States
1

A note on some new HermiteHadamard type inequalities for functions whose $n$th derivatives are strongly $eta$convex
https://ijnaa.semnan.ac.ir/article_4755.html
10.22075/ijnaa.2019.14882.1780
1
In this paper, we establish some new variants of the HermiteHadamard integral type inequalities for functions whose $n$th derivatives in absolute values at certain powers are strongly $eta$convex.
0

179
187


Seth
Kermausuor
Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
United States
skermausour@alasu.edu


Eze
Nwaeze
Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA
United States
enwaeze@tuskegee.edu
HermiteHadamard type inequality
strongly $eta$convex functions
Holder's inequality
power mean inequality
1

Deep inference: A convolutional neural networks method for parameter recovery of the fractional dynamics
https://ijnaa.semnan.ac.ir/article_4757.html
10.22075/ijnaa.2021.4757
1
Parameter recovery of dynamical systems has attracted much attention in recent years. The proposed methods for this purpose can not be used in realtime 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 realtime applications.
0

189
201


Nader
Biranvand
Faculty of Sciences, Imam Ali University, Tehran, Iran
Iran
nabiranvand@gmail.com


Amir Hossein
HadianRasanan
Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, Iran
Iran
amir.h.hadian@gmail.com


Ali
Khalili
Faculty of Engineering, Imam Ali University, Tehran Iran
Iran
alikhalili57@yahoo.com


Jamal
Amani Rad
Department of Cognitive Modeling, Institute for Cognitive and Brain Sciences, Shahid Beheshti University, Tehran, Iran
Iran
j.amanirad@gmail.com
Convolutional Neural Network
Parameter estimation
Fractional Dynamics
Data driven discove
1

On the dynamics of a nonautonomous rational difference equation
https://ijnaa.semnan.ac.ir/article_4760.html
10.22075/ijnaa.2020.4760
1
In this paper, we study the following nonautonomous rational difference equation[y_{n+1}=frac{alpha_n+y_n}{alpha_n+y_{nk}},quad n=0,1,...,]where $left{alpha_nright}_{ngeq0}$ is a bounded sequence of positive numbers, $k$ is a positive integer and the initial values $y_{k},...,y_0$ are positive real numbers. We give sufficient conditions under which the unique equilibrium $bar{y}=1$ is globally asymptotically stable. Furthermore, we establish an oscillation result for positive solutions about the equilibrium point. Our work generalizes and improves earlier results in the literature.
0

203
213


Mohamed Amine
Kerker
Laboratory of Applied Mathematics, Badji MokhtarAnnaba University, P.O. Box 12, Annaba, 23000, Algeria
Algeria
a_kerker@yahoo.com


Elbahi
Hadidi
Laboratory of Applied Mathematics, Badji MokhtarAnnaba University, P.O. Box 12, Annaba, 23000, Algeria
Algeria
ehadidi71@yahoo.fr


Abdelouahab
Salmi
Laboratory of Applied Mathematics, Badji MokhtarAnnaba University, P.O. Box 12, Annaba, 23000, Algeria
Algeria
asalmia@yahoo.com
nonautonomous difference equation
global asymptotic stability
oscillation
1

Four step hybrid block method for the direct solution of fourth order ordinary differential equations
https://ijnaa.semnan.ac.ir/article_4762.html
10.22075/ijnaa.2021.4762
1
This paper proposes a direct fourstep implicit hybrid block method for directly solving general fourthorder 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.
0

215
229


Raft
Abdelrahim
Department of Mathematics, College of Art and SciencesTabarjal, Jouf University, Saudi Arabia
Saudi Arabia
rafatshaab@yahoo.com
Hybrid block method
Fourth initial value problem
Collocation and Interpolation
Four step
1

Approximating common fixed points of mean nonexpansive mappings in hyperbolic spaces
https://ijnaa.semnan.ac.ir/article_4775.html
10.22075/ijnaa.2021.4775
1
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.
0

231
244


Jeremiah
N. Ezeora
Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
Nigeria


Chinedu
Izuchukwu
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa
izuchukwuc@ukzn.ac.za


Akindele
A. Mebawondu
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa


Oluwatosin
Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa
mewomoo@ukzn.ac.za
Mean nonexpansive mappings
uniformly convex hyperbolic spaces
strong and $bigtriangleup$convergence theorem
three step iteration
1

Some fixed point theorems for $alpha_{*}$$psi$common rational type mappings on generalized metric spaces with application to fractional integral equations
https://ijnaa.semnan.ac.ir/article_4776.html
10.22075/ijnaa.2021.4776
1
Recently Hamed H Alsulami et al introduced the notion of ($alpha$$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 setvalued mappings.
0

245
260


Farzaneh
Lotfy
Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran
Iran


Jalal
Hassanzadeh Asl
Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran
Iran
jalal.hasanzadeh172@gmail.com


Hassan
Refaghat
Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University Tabriz, Iran
Iran
Fixed points
$alpha_{*}$common admissible
$alpha_{*}$$psi$common rational type contractive
Partially ordered set
Generalized metric spaces
Weakly increasing
Fractional integral equations
1

An effective algorithm to solve option pricing problems
https://ijnaa.semnan.ac.ir/article_4782.html
10.22075/ijnaa.2021.4782
1
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.
0

261
271


Mojtaba
Moradipour
Department of Mathematics, Lorestan University, Khorramabad, Iran
Iran
moradipour.mo@lu.ac.ir
American options
variational inequalities
linear complementarity problems
1

On certain properties for new subclass of meromorphic starlike functions
https://ijnaa.semnan.ac.ir/article_4783.html
10.22075/ijnaa.2021.4783
1
In this paper we studying some properties of starlike function of order $lambda$ which satisfy in the condition$$Re(frac{zf^{'}(z)}{f(z)}+alphafrac{z^{2}f^{''}(z)}{f(z)})<1lambda+alpha$$\for all $zin U={z:z<1}$, where $f(z)=1+sum_{k=1}^infty a_{k}z^{k}$ is analytic in $U$, $0leqslantalpha<2$ and $0leqslantlambda<1$. Our results extend previos results given by Aghalary et al. (2009) and Wang et al.(2014).
0

273
285


Sirous
Moradi
Department of Mathematics, Faculty of science, Lorestan University, 6815144316, Khorramabad, Iran
Iran
moradi.s@lu.ac.ir


Mohammad
Taati
Department of Mathematics, Faculty of science, Payame Noor University, P.O.Box 193953697, Tehran, Iran
Iran
m_taati@pnu.ac.ir
Starlike function
Meromorphic function
Hadamard product
Analytic function
1

A generalization of Darbo's theorem with application to the solvability of systems of integraldifferential equations in Sobolev spaces
https://ijnaa.semnan.ac.ir/article_4784.html
10.22075/ijnaa.2021.4784
1
In this article, we introduce the notion of $(alpha,beta)$generalized MeirKeeler condensing operator in a Banach space, a characterization using strictly Lfunctions 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 integraldifferential equations in a Sobolev space. Further, an example is presented to verify the effectiveness and applicability of our main results.
0

287
300


Hojjatollah
Amiri Kayvanloo
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran


Mahnaz
Khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
mkhanehgir@gmail.com


Reza
Allahyari
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Iran
rezaallahyari@mshdiau.ac.ir
Coupled fixed points
Measure of noncompactness
MeirKeleer condensing operator
Sobolev space
System of integral equations
1

On the efficient of adaptive methods to solve nonlinear equations
https://ijnaa.semnan.ac.ir/article_4799.html
10.22075/ijnaa.2021.4799
1
The main goal of this work, obtaining a family of Steffensentype iterative methods adaptive with memory for solving nonlinear equations, which uses three selfaccelerating parameters. For this aim, we present a new scheme to construct the selfaccelerating parameters and obtain a family of Steffensentype iterative methods with memory. The selfaccelerating 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.
0

301
316


Vali
Torkashvand
Young Researchers and Elite Club, ShahreQods Branch, Islamic Azad University Tehran Iran
Iran
vali_torkashvand@yahoo.com


Reza
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Iran
ezati@kiau.ac.ir
Nonlinear equations
Newton's interpolatory polynomial
Adaptive method with memory
The order of convergence
Self accelerating parameter
1

Positive solutions for fractionalorder nonlinear boundary value problems on infinite interval
https://ijnaa.semnan.ac.ir/article_4800.html
10.22075/ijnaa.2021.4800
1
In this paper, AveryHenderson (Double) fixed point theorem and Ren fixed point theorem are used to investigate the existence of positive solutions for fractionalorder nonlinear boundary value problems on infinite interval. As applications, some examples are given to illustrate the main results.
0

317
335


Ilkay
Yaslan Karaca
Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey
Turkey
ilkay.karaca@ege.edu.tr


Dondu
Oz
Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey
Turkey
dondu.oz@ege.edu.tr
Fractional differential equations
boundary value problem
fixed point theorems
Infinite interval
positive solutions
1

Multipoint boundary value problems of higherorder nonlinear fractional differential equations
https://ijnaa.semnan.ac.ir/article_4803.html
10.22075/ijnaa.2021.4803
1
We investigate the existence and uniqueness of solutions for multipoint nonlocal boundary value problems of higherorder nonlinear fractional differential equations by using some well known fixed point theorems.
0

337
349


İsmail
Yaslan
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
Turkey
iyaslan@pau.edu.tr
Boundary value problems
Fractional derivative
Fixed point theorems
1

Comparative analysis of parallel algorithms for solving oil recovery problem using CUDA and OpenCL
https://ijnaa.semnan.ac.ir/article_4809.html
10.22075/ijnaa.2021.4809
1
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 GPUbased (graphic processor unit) algorithm was used. To implement the GPUbased 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.
0

351
364


Timur
Imankulov
Yessenov University, Aktau, Kazakhstan
Kazakhstan
imankulov_ts@mail.ru


Beimbet
Daribayev
AlFarabi Kazakh National University, Almaty, Kazakhstan
Kazakhstan
beimbet.daribayev@gmail.com


Saltanbek
Mukhambetzhanov
AlFarabi Kazakh National University, Almaty, Kazakhstan
Kazakhstan
mukhambetzhanov_@mail.ru
CUDA
OpenCL
Cyclic Reduction
ADI
Oil Recovery Problem
1

Stable numerical solution of an inverse coefficient problem for a time fractional reactiondiffusion equation
https://ijnaa.semnan.ac.ir/article_4810.html
10.22075/ijnaa.2021.4810
1
In this paper, an inverse problem of determining an unknown reaction coefficient in a onedimensional timefractional reactiondiffusion equation is considered. This inverse problem is generally illposed. For this reason, the mollification regularization technique with the generalized crossvalidation 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.
0

365
383


Afshin
Babaei
Department of Mathematics, Faculty of Mathematical sciences, University of Mazandaran, P.O. Box: 4741695447, Babolsar, Iran.
Iran
babaei@umz.ac.ir


Seddigheh
Banihashemi
Department of Applied Mathematics, University of Mazandaran, P.O. Box: 4741695447, Babolsar, Iran
Iran


Javad
Damirchi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Iran
damirchi@iust.ac.ir
Inverse problem
Time fractional reactiondiffusion equation
Caputo's fractional derivative
Mollification
Marching scheme
1

A new approach for solution of telegraph equation
https://ijnaa.semnan.ac.ir/article_4811.html
10.22075/ijnaa.2021.4811
1
In this paper, Bspline collocation method is developed for the solution of onedimensional 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 RootMeanSquare errors (RMS) in the solutions show the efficiency of the method computationally.
0

385
396


Mohammad
Zarebnia
Department of Mathematics, University of Mohaghegh Ardabili,
5619911367 Ardabil, Iran
Iran
zarebnia@uma.ac.ir


Reza
Parvaz
Department of Mathematics, University of Mohaghegh Ardabili,
5619911367 Ardabil, Iran
Iran
rparvaz@uma.ac.ir
Telegraph equation
Collocation method
Convergence
1

On $J$class $C_0$semigroups of operators
https://ijnaa.semnan.ac.ir/article_4812.html
10.22075/ijnaa.2021.4812
1
In this paper, locally topologically transitive (or Jclass) $C_0$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.
0

397
403


Mohammad
Janfada
Department of Pure Mathematics, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran
Iran
janfada@um.ac.ir


Abolfazl
Nezhadali Baghan
Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran
Iran
nejadali.2000@yahoo.com
Hypercyclic $C_0$semigroup
Jclass $C_0$semigroup
approximation in the sense of Kato
1

Existence Theory for HigherOrder Nonlinear Ordinary Differential Equations with Nonlocal Stieltjes Boundary Conditions
https://ijnaa.semnan.ac.ir/article_4813.html
10.22075/ijnaa.2021.4813
1
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.
0

405
417


Bashir
Ahmad
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Saudi Arabia
bashirahmad_qau@yahoo.com


Ahmed
Alsaedi
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Saudi Arabia
aalsaedi@hotmail.com


Nada
AlMalki
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Saudi Arabia
mass_nana@hotmail.com
higherorder differential equations
Stieltjes
nonlocal boundary conditions
fixed point
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
https://ijnaa.semnan.ac.ir/article_4815.html
10.22075/ijnaa.2021.4815
1
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.
0

419
432


Kambiz
Mashkabadi
Civil Engineering of Geotechnics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
Iran


Yousef
Zandi
Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
Iran
zandi@iaut.ac.ir
Leakage
sealing wall
horizontal drainage
Golfaraj Dam
SEEP / W
1

Stochastic approach for noise analysis and parameter estimation for RC and RLC electrical circuits
https://ijnaa.semnan.ac.ir/article_4820.html
10.22075/ijnaa.2021.4820
1
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.
0

433
444


Parisa
Nabati
Faculty of Science, Urmia University of Technology, Urmia, Iran
Iran
p.nabati@uut.ac.ir


Rahman
Farnoosh
Faculty of Mathematics, Iran University of Science and Technology, Tehran, Iran
Iran
Stochastic differential equation
Gaussian white noise
Gaussian colored noise
Simulation
Electrical circuits
Parameter estimation
1

A modified optimization method for optimal control problems of continuous stirred tank reactor
https://ijnaa.semnan.ac.ir/article_4823.html
10.22075/ijnaa.2021.4823
1
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 suboptimal control policy for chemical processes, we focused on a new construction model. Then, a twophase 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.
0

445
459


Mitra
Salimi
Department of Mathematics, Payame Noor University, Tehran, P.O. Box. 193953697, Iran
Iran
salimi2012a@gmail.com


Akbar
Hashemi Borzabadi
Department of Applied Mathematics, University of Science and Technology of Mazandaran, Behshahr, Iran
Iran
akbar.h.borzabadi@gmail.com


Seyed Hamed
Hashemi Mehne
Department of Avionics, Aerospace Research Institute, Tehran, 14665834, Iran
Iran
hmehne@ari.ac.ir


Aghileh
Heydari
Department of Mathematics, Payame Noor University, Tehran, P.O. Box. 193953697, Iran
Iran
a_heidari@pnu.ac.ir
Optimal control problem
Metaheuristic
Continuous stirred tank reactor
Modified general variable neighborhood search
1

EBayesian estimation of parameters of inverse Weibull distribution based on a unified hybrid censoring scheme
https://ijnaa.semnan.ac.ir/article_4825.html
10.22075/ijnaa.2021.4825
1
The combination of generalization TypeI hybrid censoring and generalization TypeII hybrid censoring schemes create a new censoring called a unified hybrid censoring scheme. Therefore, in this study, the EBayesian 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.
0

461
471


Shahram
Yaghoubzadeh Shahrestani
Department of Statistics, Payame Noor University, P. O. Box 193954697, Tehran, Iran
Iran
yagoubzade@gmail.com


Reza
Zarei
Department of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
Iran
r.zarei@guilan.ac.ir


Parviz
Malekzadeh
Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
Iran
pmalekzadeh@semnan.ac.ir
EBayesian estimation
Unified hybrid censoring scheme
Inverse Weibull distribution
LINEX loss function
1

The arrow domination in graphs
https://ijnaa.semnan.ac.ir/article_4826.html
10.22075/ijnaa.2021.4826
1
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 $N(w)cap (VD)=i$ and $N(w)cap Dgeq j$ for every $w in D$ such that $i$ and $j$ are two nonequal 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.
0

473
480


Suha
Radhi
Department of Mathematics, College of Education for Pure Sciences,
University of ThiQar, ThiQar, Iraq
Iran
alhsynn436@gmail.com


Mohammed
A. Abdlhusein
Department of Mathematics, College of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
mmhd@utq.edu.iq


Ayed
Hashoosh
Department of Mathematics, College of Education for Pure Sciences,
University of ThiQar, ThiQar, Iraq
Iran
ayed.hashoosh@utq.edu.iq
Dominating set
Arrow dominating set
Arrow domination number
1

Solution of a generalized two dimensional fractional integral equation
https://ijnaa.semnan.ac.ir/article_4827.html
10.22075/ijnaa.2021.4827
1
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.
0

481
492


Dipankar
Saha
Department of Mathematics, National Institute of Technology Silchar, India
India
nayan0507@gmail.com


Mausumi
Sen
Department of Mathematics, National Institute of Technology Silchar, India
India
senmausumi@gmail.com
Fractional integral equation
Measure of noncompactness
Solution
1

An overview of Bayesian prediction of future record statistics using upper record ranked set sampling scheme
https://ijnaa.semnan.ac.ir/article_4828.html
10.22075/ijnaa.2021.4828
1
Two sample prediction is considered for a oneparameter 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.
0

493
507


Ehsan
Golzade Gervi
Department of Statistics, University of Payame Noor, 193954697 Tehran, Iran
Iran
e_golzade_g@yahoo.com


Parviz
Nasiri
Department of Statistics, University of Payame Noor, 193954697 Tehran, Iran
Iran
pnasiri45@yahoo.com


Mahdi
Salehi
Department of Mathematics and Statistics, University of Neyshabur, Neyshabur, Iran
Iran
salehi2sms@gmail.com
record values
Prediction
Mean squared prediction error
Loss function
Coverage probability
Record ranked set sampling scheme
1

On the $Phi$reflexive property of $(X,Upsilon)$structures
https://ijnaa.semnan.ac.ir/article_4829.html
10.22075/ijnaa.2021.4829
1
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.
0

509
519


Akbar
Dehghanezhad
School of Mathematics, Iran University of Science and Technology,
Narmak, 1684613114, Tehran, Iran
Iran
dehghannezhad@iust.ac.ir


Saman
Shahriyari
Department of Mathematics, Yazd University, 89195741, Yazd, Iran
Iran
s.shahriyari@stu.yazd.ac.ir
$Phi$reflexive property
differential space
diffeology
$mathcal{P}$tangent bundle
$mathcal{F}$tangent bundle
1

A discrete problem involving the $p(k)$ Laplacian operator with three variable exponents
https://ijnaa.semnan.ac.ir/article_4834.html
10.22075/ijnaa.2021.4834
1
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.
0

521
532


Mohamed
Ousbika
Oriental applied mathematics laboratory, FS Oujda, Team of Modeling and Scientific Computing, FP Nador, University Mohammed 1, Morocco.
Morocco
nizarousbika@gmail.com


Zakaria
El Allali
Oriental applied mathematics laboratory, FS Oujda, Team of Modeling and Scientific Computing, FP Nador, University Mohammed 1, Morocco.
Morocco
elallali@hotmail.com
Discrete boundary value problem
Anisotropic problem
Critical point theory
Eigenvalue
1

Stability of fuzzy orthogonally $*$$n$derivation in orthogonally fuzzy $C^*$algebras
https://ijnaa.semnan.ac.ir/article_4835.html
10.22075/ijnaa.2021.4835
1
In this paper, using fixed point methods, we prove the fuzzy orthogonally $*$$n$derivation on orthogonally fuzzy $C^*$algebra for the functional equationbegin{align*}begin{split}f(frac{mu x+mu y}{2}+mu w)+f(frac{mu x+mu w}{2}+mu y)+f(frac{mu y+mu w}{2}+mu x)=2mu f(x)2mu f(y)2mu f(w).end{split}end{align*}
0

533
540


Najmeh
Ansari
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Iran


Mohammad Hadi
Hooshmand
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Iran
hooshmand@iaushiraz.ac.ir


Madjid
Eshaghi Gordji
Department of Mathematics, Semnan University P.O. Box 35195363, Semnan, Iran
Iran
meshaghi@semnan.ac.ir


Khadijeh
Jahedi
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
Iran
mjahedi80@yahoo.com
Stability
Fixed point approach
$*$$n$derivation, Fuzzy $C^*$algebra
1

Gr$ddot{u}$ss type integral inequalities for a new class of $k$fractional integrals
https://ijnaa.semnan.ac.ir/article_4836.html
10.22075/ijnaa.2021.4836
1
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.
0

541
554


Sidra
Habib
Department of Mathematics, G.C. University Faisalabad, Faisalabad, Pakistan
Pakistan
sidrahabib1605@gmail.com


Ghulam
Farid
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
Pakistan
faridphdsms@hotmail.com


Shahid
Mubeen
Department of Mathematics, University of Sargodha, Sargodha, Pakistan
Pakistan
smjhanda@gmail.com
$k$fractional conformable integrals
Fractional integral inequalities
Gr$ddot{u}$ss inequality
1

Numerical approach for reconstructing an unknown source function in inverse parabolic problem
https://ijnaa.semnan.ac.ir/article_4838.html
10.22075/ijnaa.2021.4838
1
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 RitzGalerkin 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.
0

555
565


Javad
Damirchi
Department of Mathematics, Semnan University, Semnan, Iran
Iran
damirchi@semnan.ac.ir


Ali
Janmohammadi
Department of Mathematics, Semnan University, Semnan, Iran.
Iran
janmohammadiali@semnan.ac.ir


Masoud
Hasanpour
Department of Mathematics, Semnan University, Semnan, Iran.
Iran
masoud.hasanpour@semnan.ac.ir


Reza
Memarbashi
Department of Mathematics, Semnan University, Semnan, Iran.
Iran
r.memarbashi@semnan.ac.ir
Inverse source Problem
Cost Functional
IllPosed Problem
Regularization Method
RitzGalerkin Method
1

On starlike functions related with the convex conic domain
https://ijnaa.semnan.ac.ir/article_4839.html
10.22075/ijnaa.2021.4839
1
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 $mathcal{M}_p(alpha,beta)$.
0

567
573


Rahim
Kargar
Department of Mathematics and Statistics, University of Turku, Turku, Finland
Finland
rkargar1983@gmail.com


Janusz
Sokol
University of Rzeszow, Faculty of Mathematics and Natural Sciences, ul. Prof. Pigonia 1, 35310 Rzeszow, Poland
Poland
jsokol@ur.edu.pl
Analytic functions
$p$valent functions
Generalized Bessel function
Gaussian hypergeometric function
Hadamard product
1

On the system of double equations with three unknowns $d+ay+bx+cx^2=z^2 , y+z=x^2$
https://ijnaa.semnan.ac.ir/article_4840.html
10.22075/ijnaa.2021.4840
1
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 nonzero distinct integer solutions. Different sets of integer solutions have been presented. A few interesting relations among the solutions are given.
0

575
581


Mayilrangam
Gopalan
Department of Mathematics, Shrimati Indira Gandhi College, Trichy620 002, Tamil Nadu, India
India
mayilgopalan@gmail.com


Aarthy
Thangam
Department of Mathematics, Shrimati Indira Gandhi College, Trichy620 002, Tamil Nadu, India
India
aarthythangam@gmail.com


Ozen
Ozer
Department of Mathematics, Faculty of Science and Arts, Kirklareli University, 39100, Kirklareli, Turkey
Turkey
ozenozer39@gmail.com
System of double equations
Pair of equations with three unknowns
Integer solutions
Pell Equations
Special Numbers
1

Existence of solutions of system of functionalintegral equations using measure of noncompactness
https://ijnaa.semnan.ac.ir/article_4847.html
10.22075/ijnaa.2021.4847
1
We propose to investigate the solutions of system of functionalintegral equations in the setting of measure of noncompactness on realvalued 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 functionalintegral equations.
0

583
595


Hemant
Nashine
Department of Mathematics,
School of Advanced Sciences,
Vellore Institute of Technology,
Vellore632014, TN, INDIA
Iran
drhknashine@gmail.com


Reza
Arab
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
Iran
mathreza.arab@iausari.ac.ir


Ravi
Agarwal
Department of Mathematics, Texas A & M University  Kingsville  783638202, Texas, USA
Iran
agarwal@tamuk.edu
Fixed point
Coupled fixed point
Measure of noncompactness
Functionalintegral equations
1

Ciric type multivalued $alpha _{ast }$$eta _{ast }$$theta $contractions on bmetric spaces with applications
https://ijnaa.semnan.ac.ir/article_4865.html
10.22075/ijnaa.2021.4865
1
In this paper, we give sufficient conditions for the existence of solutions of a system of Volterratype integral inclusion equations using new sort of multivalued contractions, named as generalized multivalued $alpha _{ast} $$eta _{ast }$$theta $contractions defined on $alpha $complete bmetric spaces. We give its relevance to fixed point results. We set up an example to elucidate our main results.
0

597
614


Eskandar
Ameer
Department of Mathematics, Taiz University, Taiz, Yemen
Yemen
eskandarameer@yahoo.com


Hassen
Aydi
University of Dammam, Department of Mathematics. College of Education of Jubail,
P.O: 12020, Industrial Jubail 31961. Saudi Arabia
Saudi Arabia
hmaydi@uod.edu.sa


Muhammad
Arshad
Department of Mathematics, International Islamic University, H10, Islamabad  44000, Pakistan
Pakistan
marshadzia@iiu.edu.pk


Aftab
Hussain
Department of Mathematics, Faculty of Natural Sciences, Centre for Mathematical Research, Khawaja Fareed University
of Engineering and Information Technology Rahim Yar Khan, Pakistan
Pakistan
aftabshh@gmail.com


Abdul
Khan
Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Saudi Arabia
arahim@kfupm.edu.sa
Fixed point
$alpha$complete bmetric space
$alpha$continuous multivalued mappings
triangular $alpha$orbital admissible
generalized multivalued $alpha_{ast }$$eta_{ast }$$theta$contractions.
1

On generalized $Phi$strongly monotone mappings and algorithms for the solution of equations of Hammerstein type
https://ijnaa.semnan.ac.ir/article_4866.html
10.22075/ijnaa.2021.4866
1
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.
0

615
632


Mathew
Aibinu
Institute for Systems Science & KZN eSkills CoLab, Durban University of Technology, Durban, South Africa
South Africa
moaibinu@yahoo.com


Oluwatosin
Mewomo
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa
mewomo@ukzn.ac.za
Generalized $Phi$strongly monotone
Hammerstein equation
Strong convergence
1

Investigating the dynamics of Lotka$$Volterra model with disease in the prey and predator species
https://ijnaa.semnan.ac.ir/article_4867.html
10.22075/ijnaa.2021.4867
1
In this paper, a predator$$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.
0

633
648


Atena
Ghasemabadi
Esfarayen University of Technology, Esfarayen, North Khorasan, Iran
Iran
ghasemabadi.math@gmail.com


Mohammad Hossien
Rahmani Doust
Department of Mathematics, University of Neyshabur, Adib BLVD, Neyshabur, Iran
Iran
mh.rahmanidoust@gmail.com
Differential Equations
Threshold
Prey$$Predator Model
Global Stability
SIS Disease
1

Construction of generating functions of the products of Vieta polynomials with Gaussian numbers and polynomials
https://ijnaa.semnan.ac.ir/article_4868.html
10.22075/ijnaa.2021.4868
1
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.
0

649
668


Souhila
Boughaba
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Algeria
souhilaboughaba@gmail.com


Nabiha
Saba
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
Algeria
sabarnhf1994@gmail.com


Ali
Boussayoud
LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.
Algeria
aboussayoud@yahoo.fr
Generating functions
Vieta Fibonacci polynomials
Vieta Lucas polynomials
Vieta Pell polynomials
Gaussian numbers
1

The semiobnoxious minisum circle location problem with Euclidean norm
https://ijnaa.semnan.ac.ir/article_4869.html
10.22075/ijnaa.2021.4869
1
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 semiobnoxious 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 semiobnoxious minisum circle location problem with Euclidean norm are discussed. Then a cuckoo optimization algorithm is presented for finding the solution of this problem.
0

669
678


Mehraneh
Gholami
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
Iran
mehraneh.gholami@gmail.com


Jafar
Fathali
Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
Iran
jf_fathali@yahoo.com
Minisum circle location
nonlinear programming
Semiobnoxious facility
Cuckoo optimization algorithm
1

An existence result of three solutions for a $mathbf{2n}$thorder boundaryvalue problem
https://ijnaa.semnan.ac.ir/article_4870.html
10.22075/ijnaa.2021.4870
1
In this paper, we establish the existence of at least three weak solutions for some onedimensional $2n$thorder equations in a bounded domain. A particular case and a concrete example are then presented.
0

679
691


Osman
Halakoo
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Iran
osman.halakoo@srbiau.ac.ir


Mahdi
Azhini
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
Iran
m.azhini@srbiau.ac.ir


Ghasem
Afrouzi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Iran
afrouzi@umz.ac.ir
boundary value problem
Sobolev space
Critical point
Three solutions
Variational method
1

Cystoscopic image classification by an ensemble of VGGnets
https://ijnaa.semnan.ac.ir/article_4876.html
10.22075/ijnaa.2021.4876
1
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 wellknown type of convolutional neural networks (CNNs) called VGGNet. To combine the VGGNets, 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 VGGNets and other competing methods.
0

693
700


Ehsan
Kozegar
Faculty of Technology and Engineering (Eastern Guilan), University of Guilan, Guilan, Iran.
Iran
kozegar@guilan.ac.ir
Cystoscopy
Classification
Deep learning
Bootstrap Aggregating MSC: 68T10
1

Outlier detection in test samples and supervised training set selection
https://ijnaa.semnan.ac.ir/article_4878.html
10.22075/ijnaa.2021.4878
1
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 twostage classification. The accuracy of classifiers are increased after outlier deletion. The majority voting function is used for further improvement of classifiers.
0

701
712


Navid
Mohseni
Department of Computer Engineering, Babol Branch, Islamic Azad University, Babol, Iran
Iran


Hossein
Nematzadeh
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
Iran
hn_61@yahoo.com


Ebrahim
Akbari
Department of Computer Engineering, Sari Branch, Islamic Azad University, Sari, Iran
Iran
Outlier detection
Training set selection
Similarity measures
1

Perfect 3colorings of Heawood graph
https://ijnaa.semnan.ac.ir/article_4909.html
10.22075/IJNAA.2021.4901
1
0

713
717


Mehdi
Alaeiyan
Iran University of Science and Technology
Iran
alaeiyan@iust.ac.ir
1

On new classes of neutrosophic continuous and contra mappings in neutrosophic topological spaces
https://ijnaa.semnan.ac.ir/article_4910.html
10.22075/ijnaa.2021.4910
1
0

718
725


Nadia M.
Ali Abbas
Ministry of Education, Directorate General of Education/ Baghdad/ AlKark/3, Baghdad, Iraq
Iran
mali.nadia@yahoo.com


Shuker
Khalil
Department of Mathematics, College of Science, Basrah University, Basrah, Iraq
Iran
shuker.alsalem@gmail.com
neutrosophic sets
neutrosophic topological space
neutrosophic $alpha$ open sets
neutrosophic $alpha^{*}$ open set
1

Fuzzy coeven domination of strong fuzzy graphs
https://ijnaa.semnan.ac.ir/article_4934.html
10.22075/ijnaa.2021.4934
1
he aim of this research is to initiate a new concept of domination in fuzzy graphs which is called a fuzzy coeven 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 coeven 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.
0

726
734


Ahmed
A. Omran
Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, Iraq
Iran
pure.ahmed.omran@uobabylon.edu.iq


Thaer
A. Ibrahim
The Ministry of Education and the General Directorate of Education Wasit, Iraq
Iran
atheer12fe@gmail.com
Fuzzy coeven dominating set
fuzzy coeven domination number
Join of fuzzy graphs
complement of fuzzy graphs
1

Fixed point theorems for single valued mappings satisfying the ordered nonexpansive conditions on ultrametric and nonArchimedean normed spaces
https://ijnaa.semnan.ac.ir/article_4920.html
10.22075/ijnaa.2021.645.1104
1
In this paper, some fixed point theorems for nonexpansive 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 nonArchimedean normed spaces. Finally, we give some examples to discuss the assumptions and support of these theorems.
0

735
740


Hashem
P. Masiha
K. N. Toosi University of Technology
Iran
masiha@kntu.ac.ir


Hamid
Mamghaderi
K. N. Toosi University of Technology
Iran
hmamghadery@mail.kntu.ac.ir
Fixed point
partially ordered set
nonArchimedean normed space
ultrametric space
nonexpansive mapping
1

Fixed point of setvalued graph contractions in metric spaces
https://ijnaa.semnan.ac.ir/article_4922.html
10.22075/ijnaa.2021.4922
1
In this paper, we introduce the (G$psi$) contraction in a metric space by using a graph. Let $T$ be a multivalued mappings on $X.$ Among other things, we obtain a fixed point of the mapping $T$ in the metric space $X$ endowed with a graph $G$ such that the set of vertices of $G,$ $V(G)=X$ and the set of edges of $G,$ $E(G)subseteq Xtimes X.$
0

741
747


Masoud
Ghods
Department of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
Iran
mghods@iust.ac.ir


Masoud
Hadian Dehkordi
Department of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
Iran
mhadian@iust.ac.ir
Fixed point
multivalued
(G$psi$) contraction
directed graph
1

On complex valued $G_b$metric spaces and related fixed point theorems
https://ijnaa.semnan.ac.ir/article_4933.html
10.22075/ijnaa.2019.1448.1366
1
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.
0

748
760


Chakkrid
Klineam
Department of Mathematics Faculty of Science Naresuan University, Thailand
Thailand
chakkridk@nu.ac.th


Cholatis
Suanoom
Science and Applied Science Center, Kamphaengphet Rajabhat University, Kamphaengphet, 62000, Thailand
Thailand
cholatis.suanoom@gmail.com
Fixed point
complex valued $G_b$metric spaces
complex valued Gmetric spaces
Gmetric spaces
$G_b$metric spaces
$G_b$Banach contraction and $G_b$Kannan mapping
1

A simple, efficient and accurate new Liegroup shooting method for solving nonlinear boundary value problems
https://ijnaa.semnan.ac.ir/article_4935.html
10.22075/ijnaa.2019.1543.1403
1
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 shootinglike 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 reactiondiffusion equation and one singular nonlinear boundary value problem. It is also applied successfully on two nonlinear threepoint boundary value problems and a thirdorder 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.
0

761
781


S
Abbasbandy
Imam Khomeini International University
Iran
abbasbandy@yahoo.com


M.
Hajiketabi
Department of Mathematics, Imam Khomeini International University,
Qazvin, 3414916818, Iran
Iran
mohammadhajiketabi@gmail.com
Group preserving scheme
Shooting Method
Unique solution
Multiple solutions
Nonlinear boundary value problems
1

New HermiteHadamard type inequalities on fractal set
https://ijnaa.semnan.ac.ir/article_3097.html
10.22075/ijnaa.2018.12156.1611
1
In this study, we present the new HermiteHadamard 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.
0

782
789


Tuba
Tunc
Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
Turkey
tubatunc03@gmail.com


Huseyin
Budak
Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
Turkey
hsyn.budak@gmail.com


Fuat
Usta
Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
Turkey
fusta1707@gmail.com


Mehmet
Zeki Sarikaya
Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
Turkey
sarikayamz@gmail.com
HermiteHadamard inequality
fractal set
h convex function
1

Characterizations of the set containment with starshaped constraints
https://ijnaa.semnan.ac.ir/article_3533.html
10.22075/ijnaa.2018.13932.1727
1
In this paper, we first give a separation theorem for a closed starshaped set at the origin and a point outside it in terms of separation by an upper semicontinuous and superlinear function, and also, we introduce a $nu$starshapedconjugation. By using this facts, we present characterizations of the set containment with infinite starshaped 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 semicontinuous and radiant constraint, in a reverse starshaped set, defined by a costarshaped constraint. These results have many applications in Mathematical Economics, in particular, in Utility Theory.
0

790
811


Arian
Hedayat
Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
Iran
arian_hedayat@yahoo.com


Hossein
Mohebi
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Iran
hmohebi@uk.ac.ir
starshaped function
costarshaped function
set containment
$nu$starshapedconjugation
weak separation
1

Natural homotopy perturbation method for solving nonlinear fractional gas dynamics equations
https://ijnaa.semnan.ac.ir/article_4936.html
10.22075/ijnaa.2021.4936
1
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.
0

812
820


Hassan Kamil
Jassim
Department of Mathematics, Faculty of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
hassan.kamil28@yahoo.com


Mayada Gassab
Mohammed
Department of Mathematics, Faculty of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
Local fractional RDTM
Fractional gas dynamics equation
Natural transform
Homotopy perturbation method
1

New formula to calculate the number of designs in RADG cryptosystem
https://ijnaa.semnan.ac.ir/article_4937.html
10.22075/ijnaa.2021.4937
1
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 $F_{Q}$.
0

821
829


Laith M
Kadhum
Faculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia;
&
University of Kufa, Najaf, Iraq
Iran


Ahmad
Firdaus
aFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur
Iran
firdausza@ump.edu.my


Mohamad Fadli
Zolkiplib
School of Computing, UUM College Arts Sciences, Universiti Utara Malaysia, 06010 UUM Sintok, Kedah Darul Aman,
Malaysia
Iran
m.fadli.zolkipli@uum.edu.my


Luay
Saferalia
Faculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia
Iran


Mohd Faizal
Ab Razaka
aFaculty of Computing College of Computing and Applied Sciences, Universiti Malaysia Pahang 26600 Pekan, Pahang
Darul Makmur, Malaysia
Iran
RADG
cryptography
Block Cipher
Keyless
Graph Theory
1

New optimization algorithm to improve numerical integration method
https://ijnaa.semnan.ac.ir/article_4938.html
10.22075/ijnaa.2021.4938
1
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.
0

830
837


Inaam
Rikan Hassan
University of Information Technology and Communications, Baghdad, Iraq
Iran
drinrh@uoitc.edu.iq
Trapezoidal method
Simpson method
Optimization problem
Polynomial regression
Least squares method
1

Numerical simulation of arterial pulse propagation using autonomous models
https://ijnaa.semnan.ac.ir/article_4939.html
10.22075/ijnaa.2021.4939
1
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.
0

838
846


Mayada G.
Mohammed
Department of Mathematics, College of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran


Hassan Kamil
Jassim
Department of Mathematics, College of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
hassankamil@utq.edu.iq
channel flow
elastic
pulses
1

New subclass of analytic functions defined by subordination
https://ijnaa.semnan.ac.ir/article_4940.html
10.22075/ijnaa.2018.13582.1706
1
By using the subordination relation $"prec"$, we introduce an interesting subclass of analytic functions as follows: begin{equation*} mathcal{S}^*_{alpha}:=left{fin mathcal{A}:frac{zf'(z)}{f(z)}prec frac{1}{(1z)^alpha}, z<1right}, end{equation*} where $0<alphaleq1$ and $mathcal{A}$ denotes the class of analytic and normalized functions in the unit disk $z<1$. In the present paper, by the class $mathcal{S}^*_{alpha}$ and by the Nunokawa lemma we generalize a famous result connected to starlike functions of order $1/2$. Also, coefficients inequality and logarithmic coefficients inequality for functions of the class $mathcal{S}^*_{alpha}$ are obtained.
0

847
855


Hossein
Naraghi
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
ho.naraghi@pnu.ac.ir


Parvaneh
Najmadi
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
pnajmadi@gmail.com


Bahman
Taherkhani
Department of Mathematics, Payame Noor University, Tehran, Iran
Iran
bahman.taherkhani@pnu.ac.ir
univalent
subordination
Starlike functions
coefficients estimates
logarithmic coefficients
Nunokawa's lemma
1

Fractal transforms for fuzzy valued images
https://ijnaa.semnan.ac.ir/article_4941.html
10.22075/ijnaa.2019.1590.1413
1
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.
0

856
868


M
Rajkumar
Department of Mathematics, B. S. Abdur Rahman University, Vandalur, Chennai48, Tamilnadu, India
India
m.rajkmar@gmail.com


R.
Uthayakumar
Department of Mathematics, Gandhigram Rural Institute (Deemed University), Gandhigram, Dindigul, Tamilnadu, India
India
uthayagri@gmail.com
Fractal Image compression
Iterated function systems
Fuzzy sets
Fuzzy iterated function systems
Fuzzy valued images
Fuzzy Fractal Image Compression
1

Classification of problems of determining the maximum common fragments for two structures of a temporal digraph
https://ijnaa.semnan.ac.ir/article_4942.html
10.22075/ijnaa.2021.4942
1
A new approach is proposed for classifying the problems of determining the maximum common fragments $(M C F)$ for two connected structures included in the $T$digraph, based on the type of the maximum common fragment. A tree of classification the problems of determining the maximum common fragments $(M C F)$ for two structures $t_{i} G, t_{j} Gleft(M C Fleft(t_{i} G, t_{j} Gright)right)$ included in the $T$digraph is proposed. Examples are given for a digraph $t G$ with three types of its fragments (parts), and for five connectivity types of digraphs. The formulation of six basic problems of determining the maximum common fragments $ (MCF) $ for two connected structures included in the $T$digraph is given. A classification is proposed for an isomorphic embedding of a digraph into another.
0

869
875


Ali
Ibrahim
Department of Applied Mathematics, College of Science,
University of Anbar,
Ramadi, Iraq
Iran
sc.alirashed@uoanbar.edu.iq
temporal digraph
maximum common fragment
maximum common subgraph
spanning subgraph
induced subgraph
classification of maximum common fragments
Isomorphic embedding
1

Infinitesimal generators of Lie symmetry group of parametric ordinary differential equations
https://ijnaa.semnan.ac.ir/article_4943.html
10.22075/ijnaa.2021.22387.2356
1
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.
0

877
891


Abdolali
Basiri
Damghan University
Iran
basiri@du.ac.ir


Sajjad
Rahmani
Damghan University
Iran
s_rahmani@du.ac.ir


Malihe baigom
Mirkarim
Damghan University
Iran
m.mirkarim@std.du.ac.ir
Point symmetry of ODEs
Infinitesimal generators
Gröbner basis
1

On existence of solutions for some nonlinear fractional differential equations via WardowskiMizoguchiTakahashi type contractions
https://ijnaa.semnan.ac.ir/article_4944.html
10.22075/ijnaa.2020.20511.2161
1
Using the concept of extended WardowskiMizoguchiTakahashi 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.
0

893
902


Vahid
Parvaneh
Young Researchers and Elite Club, Kermanshah Branch,
Islamic Azad University, Kermanshah, Iran.
Iran
zam.dalahoo@gmail.com


Babak
Mohammadi
Department of Mathematics, Marand Branch, Islamic Azad
University, Marand, Iran
Iran
bmohammadi@marandiau.ac.ir


Manuel
De la Sen
Institute of Research and Development of Processes, Leioa 48940, Spain
Iran
manuel.delasen@ehu.eus


Esmaeil
Alizadeh
Department of Mathematics, Marand Branch,
Islamic Azad University, Marand, Iran
Iran
e_alizadeh@marandiau.ac.ir


Hemant
Nashine
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology,
Vellore632014, TN, India
India
hemant.nashine@vit.ac.in
nonlinear fractional differential equation
WardowskiMizoguchiTakahashi type contraction
Fixed point
1

New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations
https://ijnaa.semnan.ac.ir/article_4945.html
10.22075/ijnaa.2021.21318.2245
1
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.
0

903
911


Youssef
Touail
Equipe de Recherche en Mathématiques Appliquées,Technologies de l’Information et de la Communication
Polydisciplinary Faculty of Khouribga, BP. 25000
Universite Sultan Moulay Slimane de BeniMellal
Morocco
Iran
youssef9touail@gmail.com


Driss
El Moutawakil
Equipe de Recherche
en Mathématiques Appliquées, Technologies de l’Information et de la Communication Polydisciplinary Faculty of Khouribga, BP. 25000
Universite Sultan Moulay Slimane de BeniMellal
Morocco
Iran
d.elmotawakil@gmail.com
Common fixed point
Shrinking maps
$E_theta$Weakly contractive maps
metric space
Hausdorff topological space
1

Maximal ideal graph of commutative semirings
https://ijnaa.semnan.ac.ir/article_4946.html
10.22075/ijnaa.2021.4946
1
0

913
926


Ahmed H.
Alwan
Department of Mathematics, Faculty of Education for Pure Sciences, ThiQar University,ThiQar, Iraq
Iran
ahmedha_math@utq.edu.iq
Semiring
Maximal ideal
The maximal ideal graph
Connectedness
Diameter
Girth
Planar property
1

On sum of range sets of sum of two maximal monotone operators
https://ijnaa.semnan.ac.ir/article_4947.html
10.22075/ijnaa.2019.12171.1615
1
In the setting of nonreflexive spaces (Grothendieck Banach spaces), we establish (1) $overline{ran (A+B)}=overline{ran A+ran B}$(2) int (ran (A+B))=int(ran A+ran B).with the assumption that A is a maximal monotone operator and B is a singlevalued maximal monotone operator such that A+B is ultramaximally monotone. Conditions (1) and (2) are known as Br$acute{e}$zisHaraux conditions.
0

927
934


Dillip
Pradhan
Department of Mathematics,
National Institute of Technology, Rourkela, India
India
pradhandk89@gmail.com
monotone operator
Maximal Monotone Operator
Ultramaximal Monotone Operator
Br$acute{e}$zisHaraux conditions
1

Parameter estimation of inverse exponential Rayleigh distribution based on classical methods
https://ijnaa.semnan.ac.ir/article_4948.html
10.22075/ijnaa.2021.4948
1
This paper introduces and developed a new lifetime distribution known as inverse exponential Rayleigh distribution (IERD). The new twoscale 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 reallife data.
0

935
944


Mayssa J.
Mohammed
Department of mathematics, College Of Education For Pure Sciences (Ibn ALHaitham), University of Baghdad, Iraq
Iran


Ali T.
Mohammed
Department of mathematics, College Of Education For Pure Sciences (Ibn ALHaitham), University of Baghdad, Iraq
Iran
Exponential distribution
Exponential Rayleigh distribution
Inverse distribution
Rayleigh distribution
Survival functions
1

New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi$(r; m, p, q, h_1, h_2)$preinvex mappings
https://ijnaa.semnan.ac.ir/article_4949.html
10.22075/ijnaa.2019.13075.1673
1
In this article, we first presented a new integral identity concerning differentiable mappings defined on minvex 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.
0

945
962


Artion
Kashuri
Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania
Albania
artionkashuri@gmail.com


Rozana
Liko
Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania
Albania
rozanaliko86@gmail.com
Ostrowski type inequality
Holder's inequality
Minkowski inequality
power mean inequality
minvex
1

Generalized Suzuki $(psi,phi)$contraction in complete metric spaces
https://ijnaa.semnan.ac.ir/article_4950.html
10.22075/ijnaa.2020.15983.1837
1
In this paper, we introduce the concept of $(psi, phi)$Suzuki and $(psi, phi)$JungckSuzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for $(psi, phi)$Suzuki and $(psi, phi)$JungckSuzuki 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.
0

963
978


Akindele
Mebawondu
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa
dele@aims.ac.za


Iyanu
Mebawondu
Lagos State University, Ojo Campus, Lagos, Nigeria
Nigeria
mebawonduiyanu@gmail.com
$(psi, phi)$Suzukitype mapping
Fixed point
$(psi, phi)$JungckSuzuki mapping
Coincidence point
metric space
1

New estimates of GaussJacobi and trapezium type inequalities for strongly $(h_{1},h_{2})$preinvex mappings via general fractional integrals
https://ijnaa.semnan.ac.ir/article_4951.html
10.22075/ijnaa.2020.19718.2096
1
In this paper, authors discover two interesting identities regarding GaussJacobi and trapezium type integral inequalities. By using the first lemma as an auxiliary result, some new bounds with respect to GaussJacobi 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.
0

979
996


Artion
Kashuri
Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania
Albania
artionkashuri@gmail.com


Rozana
Liko
Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania
Albania
rozanaliko86@gmail.com


Muhammad
Ali
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences,
Nanjing Normal University, 210023, China
China
mahr.muhammad.aamir@gmail.com


Huseyin
Budak
Department of Mathematics, Faculty of Science and Arts, Duzce
University, Duzce, Turkey
Turkey
hsyn.budak@gmail.com
HermiteHadamard inequality
Holder inequality
power mean inequality
general fractional integrals
1

Subordination and superordination results of multivalent functions associated with the DziokSrivastava operator
https://ijnaa.semnan.ac.ir/article_4952.html
10.22075/ijnaa.2019.17226.1916
1
Using the techniques of the differential subordination and superordination, we derive certain subordination and superordination properties of multivalent functions associated with the DziokSrivastava operator.
0

997
1008


Tamer
Seoudy
Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
Egypt
tms00@fayoum.edu.eg


M. K.
Aouf
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Egypt
mkaouf27@yahoo.com


Teodor
Bulboacă
Faculty of Mathematics and Computer Science, BabeşBolyai University, 400084 ClujNapoca, Romania
Romania
bulboaca@math.ubbcluj.ro
Analytic functions
meromorphic functions
multivalent functions
DziokSrivastava operator
Differential subordination
differential superordination
1

Stability of Inverse Pitchfork Domination
https://ijnaa.semnan.ac.ir/article_4956.html
10.22075/ijnaa.2021.4956
1
0

1009
1016


Mohammed A.
Abdlhusein
Department of Mathematics, College of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
mmhd@utq.edu.iq
dominating set
pitchfork domination
inverse pitchfork domination
1

Some estimation procedures of the PDF and CDF of the generalized inverted Weibull distribution with comparison
https://ijnaa.semnan.ac.ir/article_4957.html
10.22075/ijnaa.2020.21419.2257
1
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 nonparametric 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 closedform whereas, for nonparametric 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.
0

1017
1036


Ezzatallah
Baloui Jamkhaneh
Islamic Azad university
Iran
e_baloui2008@yahoo.com


Mortaza
Ghasemi Cherati
Department of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, Iran
Iran
mghch2007@gmail.com


Einolah
Deiri
Department of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, Iran
Iran
deiri53@gmail.com
Generalized inverted Weibull distribution
Maximum likelihood estimator
Uniformly minimum variance unbiased estimator
Percentile estimator
Least squares estimator
Weighted least squares estimator
1

A new Robust algorithm for penalized regression splines based on modeestimation
https://ijnaa.semnan.ac.ir/article_4971.html
10.22075/ijnaa.2021.23023.2458
1
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, Mtype estimator, Stype estimator, and nonrobust 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
0

1037
1055


Ahmed
Eldeeb
Department of Business Administration, College of Business, King Khaled University, KSA
Saudi Arabia
asedky@kku.edu.sa


Sabreen
Desoky
Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Alexandria University, Egypt
Egypt
sabreenfraag@yahoo.com


Mohamed
Ahmed
Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Alexandria University, Egypt
Egypt
drmoh.alyahmed@gmail.com
Mestimator
Sestimator
modal regression
penalized regression splines
Smoothing
1

Gerghaty type results via simulation and $mathcal{C}$class functions with application
https://ijnaa.semnan.ac.ir/article_4972.html
10.22075/ijnaa.2019.16025.1842
1
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 twopoint boundary value second order nonlinear differential equation is obtain.
0

1057
1071


Azhar
Hussain
Department of Mathematics, University of Sargodha, Sargodha40100, Pakistan
Pakistan
hafiziqbal30@yahoo.com


Muhammad
Ishfaq
Department of Mathematics, University of Sargodha, Sargodha40100, Pakistan
Pakistan
ishfaqahmad5632@gmail.com


Tanzeela
Kanwal
Department of Mathematics, University of Sargodha, Sargodha40100, Pakistan
Pakistan
tanzeelakanwal16@gmail.com


Stojan
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd 35, Serbia
Serbia
radens@beotel.rs
simulation functions
$mathcal{C}$class function
partially ordered metric space
1

Proposing a lower bound for a nonlinear scheduling problem in supply chain
https://ijnaa.semnan.ac.ir/article_4973.html
10.22075/ijnaa.2017.1616.1422
1
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 NPhard 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.
0

1073
1085


Mohammad Ali
Beheshtinia
Semnan university
Iran
beheshtinia@semnan.ac.ir


Amir
Ghasemi
semnan university
Iran
ghasemi.amir@semnan.ac.ir
scheduling
supply chain
Lower bound
nonlinear programming
1

Analysis and control of a 4D hyperchaotic system with passive control
https://ijnaa.semnan.ac.ir/article_4974.html
10.22075/ijnaa.2020.21594.2278
1
In this study, the dynamical behavior of the fourdimensional (4D) hyperchaotic system is analyzed. Its chaotic dynamical behaviors and basic dynamical properties are presented by Lyapunov exponents, stability analysis, and KaplanYorke 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.
0

1087
1095


Selcuk
Emiroglu
Department of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, Turkey
Turkey
selcukemiroglu@sakarya.edu.tr


Yılmaz
Uyaroğlu
Department of Electrical Electronics Engineering, Faculty of Engineering, Sakarya University, Turkey
Turkey
uyaroglu@sakarya.edu.tr
4D hyperchaotic system
Passive control
chaos control
complex dynamic behavior
1

AntiNorder polynomial Daugavet property on Banach spaces
https://ijnaa.semnan.ac.ir/article_4975.html
10.22075/ijnaa.2019.16371.1865
1
We generalize the notion of the antiDaugavet property (aDP) to the antiNorder polynomial Daugavet property (aNPDP) for Banach spaces by identifying a good spectrum of a polynomial and prove that locally uniformly alternatively convex or smooth Banach spaces have the amDP for rank1 polynomials. We then prove that locally uniformly convex Banach spaces have the aNPDP for compact polynomials if and only if their norms are eigenvalues, and uniformly convex Banach spaces have the aNPDP for continuous polynomials if and only if their normsbelong to the approximate spectra.
0

1097
1105


John
Emenyu
Department of Mathematics, Faculty of Science, Mbarara University of Science and Technology, Uganda
Uganda
jemenyu@must.ac.ug
Banach spaces
local and uniform convexity
polynomials
Norder polynomial Daugavet equation
antiNorder Daugavet property
1

On $alpha^{*}$continuous and contra $alpha^{*}$continuous mappings in topological spaces with soft setting
https://ijnaa.semnan.ac.ir/article_4980.html
10.22075/ijnaa.2021.23061.2471
1
In this work, some new connotations of continuous mappings such as $alpha^{*}$  continuous mapping $left(alpha^{*}C Mright),$ irresolute $alpha^{*}$mapping $left(I alpha^{*}C Mright),$ and strongly $alpha^{*}$ continuous mapping $left(S alpha^{*}C Mright)$ are studied and some of their characteristics are discussed. In other side, new some classes of contra continuous mappings are investigated in this work, they are called contra $alpha^{*}$  continuous mapping $left(C alpha^{*}C Mright)$.
0

1107
1113


Nadia M.
Ali Abbas
Ministry of Education, Directorate General of Education/ Baghdad/ AlKark/3, Iraq.
Iran


Shuker
Khalil
Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq.
Iran
shuker.alsalem@gmail.com


Alaa
Abdullah Hamza
Ministry of Education, The General Directorate For AlNajaf Al Ashraf, Iraq
Iran
aalaa21abd@gmail.com
alpha$open sets
$alpha^{*}$open sets
$alpha^{*}$regular spaces
1

On subgroups of the unitary group especially of degree 2
https://ijnaa.semnan.ac.ir/article_4981.html
10.22075/ijnaa.2021.23056.2469
1
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.
0

1115
1121


Shakir
Sabbar
Department of Mathematics, Faculty of Mathematics and natural sciences, University of Brawijaya, Malang, Indonesia
Iran
shamartr@gmail.com


Agus
Widodo
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia
Iran
prof.agus_widodo@yahoo.com


Noor
Hidayat
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia
Iran
noorh@ub.ac.id


Abdul
Alghofari
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Malang, Indonesia
Iran
abdul_rouf@ub.ac.id
Unitary group
special unitary group
unitary transvection
1

A family of parallel quasiNewton algorithms for unconstrained minimization
https://ijnaa.semnan.ac.ir/article_4976.html
10.22075/ijnaa.2019.16979.1900
1
This paper deals with the solution of the unconstrained optimization problems on parallel computers using quasiNewton 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.
0

1123
1133


AbdelRahman
Ahmed
Department of Mathematics, Faculty of Science, AlAzhar University (Assiut Branch), Assiut, Egypt
Iran
ab1_ibrahim@yahoo.com


Mohamed
Salim
Department of Mathematics, Faculty of Science, AlAzhar University (Assiut Branch), Assiut, Egypt
Iran
abdelrahman24682@gmail.com
Parallel algorithm
Unconstrained optimization
QuasiNewton
1

Integrated three layer supply chain inventory model for price sensitive and time dependent demand with suggested retail price by manufacturer
https://ijnaa.semnan.ac.ir/article_4979.html
10.22075/ijnaa.2018.14334.1749
1
This paper presents an integrated three layer supply chain policy for multichannel and multiechelon 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.
0

1135
1152


Uttam
Khedlekar
Department of Mathematics,
Dr Harisingh Gour Vishwavidyalaya, Sagar MP India
India
uvkkcm@yahoo.co.in


Atmaram
Nigwal
Ujjain Engineering Collage Ujjain (M. P.) India
India
arnw@rediffmail.com


N. K.
Khedlekar
Department of Management Studies (DOM), Indian Institute of Technology (IIT), Madras, India
India
nuvkk@yahoo.in


H. K.
Patel
Department of Mathematics, Ujjain Engineering Collage, Ujjain M.P. India
India
hkpatelmaths@rediffmail.com
Inventory
Holding cost
Net prot
Multichannel supply chain
Centralize scenario
Decentralize scenario
1

Asymptotic behavior of generalized quadratic mappings
https://ijnaa.semnan.ac.ir/article_4982.html
10.22075/ijnaa.2021.4982
1
We show in this paper that a mapping $f$ satisfiesthe following functional equationbegin{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 HyersUlam stability problem for the equation, and thus obtain an asymptotic property of quadratic mappings as applications.
0

1153
1165


Hark
Mahn Kim
Department of Mathematics, Chungnam National University
99 Daehangno, Yuseonggu, Daejeon 305764, Korea
Korea
hmkim@cnu.ac.kr


IckSoon
Chang
Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseonggu, Daejeon 34134, Korea
Korea
ischang@cnu.ac.kr
stability
Parallel polyhedron equality
Generalized quadratic mappings
1

On a more accurate HardyHilbert's inequality in the whole plane
https://ijnaa.semnan.ac.ir/article_4983.html
10.22075/ijnaa.2018.13571.1705
1
By introducing independent parameters and applying the weight coefficients, we use HermiteHadamard's inequality and give a more accurate HardyHilbert'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.
0

1167
1179


Qiliang
Huang
Department of Mathematics,
Guangdong University of Education,Guangzhou, Guangdong, P.R.China
China
qlhuang@yeah.net


Bicheng
Yang
Department of Mathematics,
Guangdong University of Education, Guangzhou, Guangdong, P.R.China
China
bcyang@gdei.edu.cn
HardyHilbert's inequality
more accurate inequality
parameter
weight coefficient
equivalent form
operator expression
1

The extended tanh method for solving conformable spacetime fractional KdV equations
https://ijnaa.semnan.ac.ir/article_4984.html
10.22075/ijnaa.2019.15346.1807
1
In this study, we obtain exact traveling wave solutions of the conformable spacetime fractional SawadaKoteraIto, Lax and KaupKupershmidt 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.
0

1181
1194


Handan
Yaslan
Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey
Turkey
hcerdik@pau.edu.tr


Ayşe
Girgin
Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey
Turkey
agirgin114@posta.pau.edu.tr
Conformable spacetime fractional SawadaKoteraIto equation
Conformable spacetime fractional Lax equation
Conformable spacetime fractional KaupKupershmidt equation
Extended tanh method
Traveling wave solutions
1

Initial value problem for a fractional neutral differential equation with infinite delay
https://ijnaa.semnan.ac.ir/article_4985.html
10.22075/ijnaa.2018.13488.1698
1
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.
0

1195
1206


Mohammed
Abdo
Dr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 India
India
moh_wosabi@hotmail.com


Satish
Panchal
Dr. Babasaheb Ambedkar Marathwada
University, Aurangabad, 431004 India
India
drpanchalskk@gmail.com
fractional functional differential equations
fractional derivative and fractional integral
existence and continuous dependence
Fixed point theorem
1

On a class of nonlinear parabolic equations with natural growth in nonreflexive Musielak spaces
https://ijnaa.semnan.ac.ir/article_4990.html
10.22075/ijnaa.2021.21148.2235
1
An existence result of renormalized solutions for nonlinear parabolic CauchyDirichlet problems whose model$$left{begin{array}{ll}displaystylefrac{partial b(x,u)}{partial t}mbox{div}>mathcal{A}(x,t,u,nabla u)mbox{div}>Phi(x,t,u)=f &mbox{ in }Omegatimes (0,T)\b(x,u)(t=0)=b(x,u_0) & mbox{ in } Omega\u=0 &mbox{ on } partialOmegatimes (0,T).end{array}right.$$is given in the non reflexive Musielak spaces, where $b(x,cdot)$ is a strictly increasing $C^1$function for every $xinOmega$ with $b(x,0)=0$, the lower order term $Phi$ is a non coercive Carath'{e}odory function satisfying only a natural growth condition described by the appropriate Musielak function $varphi$ and $f$ is an integrable data.
0

1207
1233


Bourahma
Mohamed
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
Morocco
mohamedbourahma@gmail.com


Deval
Sidi Mohamed
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
Morocco
sidideval@gmail.com


Bennouna
Jaouad
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez, Morocco
Morocco
jbennouna@hotmail.com


Abdelmoujib
Benkirane
Departement of Mathematics Faculte of Sciences SIdi Mohamed Ben Abdellah University Dhar Mahraz Fez Morocco
Morocco
abd.benkirane@gmail.com
Parabolic problems
Musielak spaces
Renormalized solutions
natural growth
1

On soft $b^*$closed sets in soft topological space
https://ijnaa.semnan.ac.ir/article_5002.html
10.22075/ijnaa.2021.5002
1
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.
0

1235
1242


Saif Z.
Hameed
Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Iran
saifzuhairp@sci.asu.edu.eg


Fayza A.
Ibrahem
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Iran


Essam A.
ElSeidy
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
Iran
soft $b$open set
soft $b^*$closed set
soft $b^*$ open set
1

Application of the accelerated failure time model to lung cancer data
https://ijnaa.semnan.ac.ir/article_5003.html
10.22075/ijnaa.2021.5003
1
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.
0

1243
1250


Akam Ali
Othman
College of Administration and EconomicsnUniversity of Kirkuk
Iran


Sabah Haseeb
Hasan
College of Administration and EconomicsnUniversity of Kirkuk
Iran
sabahsaqi@uokirkuk.edu.iq
Accelerated failure time model
life time
survival data
selection criteria
lung cancer
1

The existence of uniqueness non standard equilibrium problems
https://ijnaa.semnan.ac.ir/article_5004.html
10.22075/ijnaa.2021.5004
1
In this paper, the concept of $etaxi$monotonous operator is explored using KKM mapping. The existence results and uniqueness dened on its bounded and unbounded domains are discussed. Our ndings improve and develop some wellknown solutions in literature.
0

1251
1260


Dhuha
Abbas
Department of Mathematics, Faculty of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
dhuha935@gmail.com


Ayed E.
Hashoosh
Department of Mathematics, Faculty of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
ayed.hashoosh@utq.edu.iq


Wijdan
Abed
Department of Mathematics, Faculty of Education for Pure Sciences, University of ThiQar, ThiQar, Iraq
Iran
wijdan.saeed.abd@gmail.com
Monotonicity
Equilibrium problem setvalued mapping
Hemicoutinuity
KKMmapping
Semi continuouse
convex function
1

Designing a multiperiod credit portfolio optimization model a nonlinear multiobjective fuzzy mathematical modeling approach (Case study: Ansar banks affiliated to Sepah Bank)
https://ijnaa.semnan.ac.ir/article_5005.html
10.22075/ijnaa.2021.23118.2478
1
This study aims to design a multiperiod credit portfolio optimization model with a nonlinear multiobjective fuzzy mathematical modeling approach. In terms of data collection, this study is a descriptivesurvey 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 SemiEntropy. 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 multiobjective 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 SemiEntropy, in evaluating optimal portfolios.
0

1261
1277


Ali Asghar
Tehranipour
Department of Financial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
Iran
ali.tehranippor54@gmail.com


Ebrahim
Abbasi
Department of Financial Management, AlZahra University, Tehran, Iran
Iran
masi2021arab@gmail.com


Hosein
Didehkhani
Department of Financial Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
Iran
somayyeh2014arab@gmail.com


Aeash
Naderian
Department of Accounting, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran
Iran
arashnaderian@yahoo.com
Banking
Iran
Credit Portfolio