2016
7
2
2
0
1

A more accurate halfdiscrete HardyHilberttype inequality with the best possible constant factor related to the extended RiemannZeta function
https://ijnaa.semnan.ac.ir/article_375.html
10.22075/ijnaa.2016.375
1
By the method of weight coefficients, techniques of real analysis and HermiteHadamard's inequality, a halfdiscrete HardyHilberttype inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemannzeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the reverses and some particular cases are also considered.
0

1
27


Michael Th.
Rassias
Institute of Mathematics, University of Zurich, CH8057, Zurich, Switzerland & Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540, USA
United States
michail.rassias@math.uzh.ch


Bicheng
Yang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China
China
bcyang@gdei.edu.cn
HardyHilberttype inequality
extended Riemannzeta function
Hurwitz zeta function
Gamma function
weight function
equivalent form
operator
1

Some functional inequalities in variable exponent spaces with a more generalization of uniform continuity condition
https://ijnaa.semnan.ac.ir/article_439.html
10.22075/ijnaa.2016.439
1
Some functional inequalities in variable exponent Lebesgue spaces are presented. The biweighted modular inequality with variable exponent $p(.)$ for the Hardy operator restricted to non increasing function which is$$int_0^infty (frac{1}{x}int_0^x f(t)dt)^{p(x)}v(x)dxleqCint_0^infty f(x)^{p(x)}u(x)dx,$$ is studied. We show that the exponent $p(.)$ for which these modular inequalities hold must have constant oscillation. Also we study the boundedness of integral operator $Tf(x)=int K(x,y) f(x)dy$ on $L^{p(.)}$ when the variable exponent $p(.)$ satisfies some uniform continuity condition that is named $beta$controller condition and so multiple interesting results which can be seen as a generalization of the same classical results in the constant exponent case, derived.
0

29
38


Somayeh
Saiedinezhad
Assistant professor of Iran University of Science and technology
Iran
ssaiedinezhad@iust.ac.ir
Hardy type inequality
Variable exponent Lebesgue space
Modular type inequality.
1

Weak and $(1)$weak amenability of second dual of Banach algebras
https://ijnaa.semnan.ac.ir/article_457.html
10.22075/ijnaa.2016.457
1
For a Banach algebra $A$, $A''$ is $(1)$Weakly amenable if $A'$ is a Banach $A''$bimodule and $H^1(A'',A')={0}$. In this paper, among other things, we study the relationships between the $(1)$Weakly amenability of $A''$ and the weak amenability of $A''$ or $A$. Moreover, we show that the second dual of every $C^ast$algebra is $(1)$Weakly amenable.
0

39
48


A.
Valadkhani
University of Simon Fraser, Department of Education, Vancouver, Canada
Iran
arezou.valadkhani@yahoo.com


S.A.R.
Hosseinioun
University of Arkansas, Department of Mathematical sciences, Fayetteville, AR 72703, USA
Iran
ahosseinioun@yahoo.com
Banach algebra
point derivation
(1)Weak amenability
1

Fixed points for Chatterjea contractions on a metric space with a graph
https://ijnaa.semnan.ac.ir/article_449.html
10.22075/ijnaa.2016.449
1
In this work, we formulate Chatterjea contractions using graphs in metric spaces endowed with a graph and investigate the existence of fixed points for such mappings under two different hypotheses. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.
0

49
58


Kamal
Fallahi
Department of Mathematics, Payame Noor University,
P.O. Box 193953697, Tehran, Iran
Iran
fallahi1361@gmail.com


Aris
Aghanians
Department of Mathematics, Payame Noor University, P.O. Box 193953697, Tehran, Iran
Iran
a.aghanians@dena.kntu.ac.ir
$G$Chatterjea mapping
Fixed point
orbitally $G$continuous mapping
1

Application of new basis functions for solving nonlinear stochastic differential equations
https://ijnaa.semnan.ac.ir/article_450.html
10.22075/ijnaa.2016.450
1
This paper presents an approach for solving a nonlinear stochastic differential equations (NSDEs) using a new basis functions (NBFs). These functions and their operational matrices are used for representing matrix form of the NBFs. With using this method in combination with the collocation method, the NSDEs are reduced a stochastic nonlinear system of equations and unknowns. Then, the error analysis is proved. Finally, numerical examples illustrate applicability and accuracy of the presented method.
0

59
68


Zahra
Sadati
Department of Mathematics, khomein Branch, Islamic Azad University, khomein, Iran
Iran
zahra_sadati47@yahoo.com
New basis functions
Standard Brownian motion
Stochastic operational matrix
Nonlinear stochastic differential equations
1

( p,q)Genuine BaskakovDurrmeyer operators
https://ijnaa.semnan.ac.ir/article_454.html
10.22075/ijnaa.2016.454
1
In the present article, we propose the $(p,q)$ variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some direct results, which include weighted approximation and results in terms of modulus of continuity of second order.
0

69
76


Vijay
Gupta
Netaji Subhas Institute of Technology
New Delhi, India
Iran
vijaygupta2001@hotmail.com


Th.
Rassias
National Technical University of Athens
Department of Mathematics
Zografou Campus,
GR15780, Athens, Greece
Iran
trassias@math.ntua.gr
q)$Beta function
$(p
q)$Gamma function
Baskakov operators
Durrmeyer variant
Steklov mean
$K$functional
direct estimates
1

Coincidence point and common fixed point results via scalarization function
https://ijnaa.semnan.ac.ir/article_478.html
10.22075/ijnaa.2016.478
1
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$metric spaces. Next, we obtain cone $b$metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
0

77
91


Sushanta
Mohanta
West Bengal State University, Barasat, 24 Parganas(North), Kolkata700126, West Bengal, India
Iran
mohantawbsu@rediffmail.com
Cone $b$metric space
scalarization function
point of coincidence
Common fixed point
1

Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings
https://ijnaa.semnan.ac.ir/article_479.html
10.22075/ijnaa.2016.479
1
In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly G$hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(ell_{p})$ spaces, $1 < p <infty$ and consequently in sobolev spaces.
0

93
108


Godwin
Ugwunnadi
Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
Iran
ugwunnadi4u@yahoo.com
Fixed point
Banach space
Asymptotically nonexpansive mapping
1

Product of derivations on C$^*$algebras
https://ijnaa.semnan.ac.ir/article_451.html
10.22075/ijnaa.2017.451
1
Let $mathfrak{A}$ be an algebra. A linear mapping $delta:mathfrak{A}tomathfrak{A}$ is called a textit{derivation} if $delta(ab)=delta(a)b+adelta(b)$ for each $a,binmathfrak{A}$. Given two derivations $delta$ and $delta'$ on a $C^*$algebra $mathfrak A$, we prove that there exists a derivation $Delta$ on $mathfrak A$ such that $deltadelta'=Delta^2$ if and only if either $delta'=0$ or $delta=sdelta'$ for some $sinmathbb{C}$.
0

109
114


Khalil
Ekrami
Department of Mathematics, Payame Noor University
Iran
khalil.ekrami@gmail.com


Madjid
Mirzavaziri
Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad
Iran
mirzavaziri@gmail.com


Hamid Reza
Ebrahimi Vishki
Department of Pure Mathematics and Center of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad,
Iran
vishki@um.ac.ir
Derivation
C$^*$algebra
1

Some drifts on posets and its application to fuzzy subalgebras
https://ijnaa.semnan.ac.ir/article_503.html
10.22075/ijnaa.2016.503
1
In this paper, given a poset $(X,leq)$, we introduce some drifts on a groupoid $(X,*)$ with respect to $(X,leq)$, and we obtain several properties of these drifts related to the notion of $Bin(X)$. We discuss some connections between fuzzy subalgebras and upward drifts.
0

115
125


Xiaohong
Zhang
College of Arts and Sciences
Shanghai Maritime University, China
China
zxhongz@263.net


Hee Sik
Kim
Research Institute for Natural Sci., Department of Mathematics, Hanyang University, Seoul, 04763, Korea
Korea
heekim@hanyang.ac.kr


Joseph
Neggers
Department of Mathematics
University of Alabama, USA
United States
jneggers@as.ua.edu
$Bin(X)$
(strong
oriented
positive
strict) upward drift
selective
$BCK$algebra
fuzzy subalgebra
1

The solutions to the operator equation $TXS^* SX^*T^*=A$ in Hilbert $C^*$modules
https://ijnaa.semnan.ac.ir/article_502.html
10.22075/ijnaa.2016.502
1
In this paper, we find explicit solution to the operator equation $TXS^* SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$modules, when $T,S$ have closed ranges and $S$ is a self adjoint operator.
0

127
132


Mehdi
Mohammadzadeh Karizaki
Department of Mathematics,
Mashhad Branch, Islamic Azad University,
Mashhad 91735, Iran
Iran
mohammadzadehkarizaki@gmail.com


Mahmoud
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, Iran.
Iran
mhassanimath@gmail.com


Dragan
Djordjevic
D. S. Djordjevic, Faculty of Sciences and Mathematics, University of acute;
Nis, Visegradska 33, P.O. Box 224, 18000 Nis, Serbia.
Serbia
dragan@pmf.ni.ac.rs
Operator equation
MoorePenrose inverse
Hilbert $C^*$module
1

Some inequalities in connection to relative orders of entire functions of several complex variables
https://ijnaa.semnan.ac.ir/article_518.html
10.22075/ijnaa.2016.518
1
Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
0

133
141


Sanjib
Datta
Associate Professor
Department of Mathematics
University of Kalyani
Iran
sanjib_kr_datta@yahoo.co.in


Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O. Krishnagar, DistNadia,PIN741101, West Bengal, India
Iran
tanmaybiswas_math@rediffmail.com


Debasmita
Dutta
Mohanpara Nibedita Balika Vidyalaya (High),P.o  Amrity, Block  English Bazar, Dist. District  Malda, PIN 732208, West Bengal, India
Iran
debasmita.dut@gmail.com
Entire function
several complex variables
relative order
relative lower order
1

A generalization of Martindale's theorem to $(alpha, beta)$homomorphism
https://ijnaa.semnan.ac.ir/article_481.html
10.22075/ijnaa.2016.481
1
Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)$derivation is additive.
0

143
151


Eqbal
Keyhani
Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, Iran.
Iran
kayhanymath@gmail.com


Mahmoud
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
mhassanimath@gmail.com


Maryam
Amyari
Department of Mathematics, Mashhad Branch, Islamic Azad University,
Mashhad, Iran.
Iran
amyari@mshdiau.ac.ir
beta)$multiplicative mapping
beta)$multiplicative isomorphism
$(alpha
beta)$additive mapping
multiplicative $(alpha
beta)$derivations
1

Algebras defined by homomorphisms
https://ijnaa.semnan.ac.ir/article_456.html
10.22075/ijnaa.2016.456
1
Let $mathcal{R}$ be a commutative ring with identity, let $A$ and $B$ be two $mathcal{R}$algebras and $varphi:Blongrightarrow A$ be an $mathcal{R}$additive algebra homomorphism. We introduce a new algebra $Atimes_varphi B$, and give some basic properties of this algebra. Generalized $2$cocycle derivations on $Atimes_varphi B$ are studied. Accordingly, $Atimes_varphi B$ is considered from the perspective of Banach algebras.
0

153
164


Feysal
Hassani
Payame Noor University
Iran
feysal.hassani.pnu@gmail.com
algebra
cocycle
generalized derivation
Banach algebra
1

On boundary value problems of higher order abstract fractional integrodifferential equations
https://ijnaa.semnan.ac.ir/article_520.html
10.22075/ijnaa.2017.520
1
The aim of this paper is to establish the existence of solutions of boundary value problems of nonlinear fractional integrodifferential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H"{o}lder inequality, Krasnoselskii's fixed point theorem and nonlinear alternative of LeraySchauder type. Examples are exhibited to illustrate the main results.
0

165
184


Sabri T. M.
Thabet
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad  431004, Maharashtra, India.
Iran
th.sabri@yahoo.com


Machindra B.
Dhakne
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad  431004, Maharashtra, India.
Iran
mbdhakne@yahoo.com
Fractional integrodifferential equations
boundary value problem
fixed point theorems
1

Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition
https://ijnaa.semnan.ac.ir/article_2262.html
10.22075/ijnaa.2017.1080.1228
1
In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.
0

185
193


Mohamad Hossein
Akrami
Department of Mathematics, Yazd University, Yazd, Iran.
Iran
akrami@yazd.ac.ir


Gholam Hussain
Erjaee
Department of Mathematics, College of Science, Shiraz University, 7481171466 Shiraz, Iran
Iran
erjaee@shirazu.ac.ir
Fractional evolution equation
Cauchy problem
Fixed point theorem
Mild solution
1

Approximation of a generalized EulerLagrange type additive mapping on Lie $C^{ast}$algebras
https://ijnaa.semnan.ac.ir/article_2263.html
10.22075/ijnaa.2017.1332.1329
1
Using fixed point method, we prove some new stability results for Lie $(alpha,beta,gamma)$derivations and Lie $C^{ast}$algebra homomorphisms on Lie $C^{ast}$algebras associated with the EulerLagrange type additive functional equationbegin{align*}sum^{n}_{j=1}f{bigg(r_{j}x_{j}+sum_{1leq i leq n, ineqj}r_{i}x_{i}bigg)}+2sum^{n}_{i=1}r_{i}f(x_{i})=nf{bigg(sum^{n}_{i=1}r_{i}x_{i}bigg)}end{align*}where $r_{1},ldots,r_{n}in {mathbb{R}}$ are given and $r_{i},r_{j}neq 0$ for some $1leq i< jleq n$.
0

195
204


Zhihua
Wang
School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P.R. China
China
20061062@hbut.edu.cn


Prasanna K.
Sahoo
Department of Mathematics, University of Louisville, Louisville, KY 40292, USA
United States
sahoo@louisville.edu
Fixed point theorem
Lie $(alpha,beta,gamma)$derivation
Lie $C^{ast}$algebra homomorphisms
generalized HyersUlam stability
1

Existence of solutions of infinite systems of integral equations in the Frechet spaces
https://ijnaa.semnan.ac.ir/article_2264.html
10.22075/ijnaa.2017.1074.1222
1
In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems of nonlinear integral equations with help of the technique of measures of noncompactness and a generalization of Tychonoff fixed point theorem. Also, we present an example of nonlinear integral equations to show the efficiency of our results. Our results extend several comparable results obtained in the previous literature.
0

205
216


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


Reza
Allahyari
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Iran
rezaallahyari@mshdiau.ac.ir


Ali
Shole Haghighi
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.
Iran
ali.sholehaghighi@gmail.com
Measure of noncompactness
Frechet space
Tychonoff fixed point theorem
Infinite systems of equations
1

Some common fixed point theorems for Gregus type mappings
https://ijnaa.semnan.ac.ir/article_2272.html
10.22075/ijnaa.2017.10452.1504
1
In this paper, sufficient conditions for the existence of common fixed points for a compatible pair of self maps of Gregustype in the framework of convex metric spaces have been obtained. Also, established the existence of common fixed points for a pair of compatible mappings of type (B) and consequently for compatible mappings of type (A). The proved results generalize and extend some of the well known results of the literature.
0

217
228


Sumit
Chandok
School of Mathematics, Thapar University, Patiala147004, Punjab, India
Iran
chansok.s@gmail.com
Common fixed point
convex set
commuting maps
compatible maps
compatible maps of type (A)
compatible maps of type (B)
affine map
1

A contribution to approximate analytical evaluation of Fourier series via an Applied Analysis standpoint; an application in turbulence spectrum of eddies
https://ijnaa.semnan.ac.ir/article_2308.html
10.22075/ijnaa.2017.10573.1510
1
In the present paper, we shall attempt to make a contribution to approximate analytical evaluation of the harmonic decomposition of an arbitrary continuous function. The basic assumption is that the class of functions that we investigate here, except the verification of Dirichlet's principles, is concurrently able to be expanded in Taylor's representation, over a particular interval of their domain of definition. Thus, we shall take into account the simultaneous validity of these two properties over this interval, in order to obtain an alternative equivalent representation of the corresponding harmonic decomposition for this category of functions. In the sequel, we shall also implement this resultant formula in the investigation of turbulence spectrum of eddies according to known from literature Von Karman's formulation, making the additional assumption that during the evolution of such stochastic dynamic effects with respect to time, the occasional timereturning period can be actually supposed to tend to infinity.
0

229
242


John
Venetis
School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Avenue GR,15773 Athens, Greece
Greece
johnvenetis4@gmail.com


Emilios
Sideridis
School of Applied Mathematics and Physical Sciences NTUA, Section of Mechanics, 5 Heroes of Polytechnion Avenue GR,15773 Athens, Greece.
Greece
siderem@mail.ntua.gr
Orthogonal functions
Abel's summability
Poisson's kernel
Von Karman's spectrum
1

Projected nonstationary simultaneous iterative methods
https://ijnaa.semnan.ac.ir/article_501.html
10.22075/ijnaa.2016.501
1
In this paper, we study Projected nonstationary Simultaneous Iterative Reconstruction Techniques (PSIRT). Based on algorithmic operators, convergence result are adjusted with Opial’s Theorem. The advantages of PSIRT are demonstrated on examples taken from tomographic imaging.
0

243
251


Touraj
Nikazad
School of Mathematics,
Iran University of Science and Technology
Iran
tnikazad@iust.ac.ir


Mahdi
Mirzapour
School of Mathematics,
Iran University of Science and Technology
Iran
mahdimirzapour67@gmail.com
Simultaneous iterative reconstruction techniques
convex feasibility problem
(firmly) nonexpansive operator
cutter operator
1

Random fractional functional differential equations
https://ijnaa.semnan.ac.ir/article_2309.html
10.22075/ijnaa.2017.980.1185
1
In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.
0

253
267


Vu
Ho
Institute for Computational Science
Ton Duc Thang University;
19 Nguyen Huu Tho, District 7, Ho Chi Minh City, Vietnam
Vietnam
hovumath@gmail.com
Sample fractional integral
Sample fractional derivative
Fractional differential equations
random differential equations
Caputo fractional derivative
1

Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
https://ijnaa.semnan.ac.ir/article_458.html
10.22075/ijnaa.2016.458
1
In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by RungeKutta method. The technique is described and is illustrated with one numerical example. The numerical results shown that the reliability and efficiency of the method.
0

269
277


Javad
Damirchi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University,Semnan, Iran
Iran
damirchi.javad@gmail.com


Taher
Rahimi shamami
Department of Mathematics, Faculsty of Mathematics, Statistics and Computer Science, Semnan University, Semnan Iran
Iran
rahimishamami2012@gmail.com
Differential transform method
Systems of nonlinear ordinary differential equations
Pade approximation
Fourth order RungeKutta method
1

Solutions and stability of variant of Van Vleck's and D'Alembert's functional equations
https://ijnaa.semnan.ac.ir/article_774.html
10.22075/ijnaa.2017.1803.1472
1
In this paper. (1) We determine the complexvalued solutions of the following variant of Van Vleck's functional equation$$int_{S}f(sigma(y)xt)dmu(t)int_{S}f(xyt)dmu(t) = 2f(x)f(y), ;x,yin S,$$ where $S$ is a semigroup, $sigma$ is an involutive morphism of $S$, and $mu$ is a complex measure that is linear combinations of Dirac measures $(delta_{z_{i}})_{iin I}$, such that for all $iin I$, $z_{i}$ is contained in the center of $S$. (2) We determine the complexvalued continuous solutions of the following variant of d'Alembert's functional equation$$int_{S}f(xty)dupsilon(t)+int_{S}f(sigma(y)tx)dupsilon(t) = 2f(x)f(y), ;x,yin S,$$ where $S$ is a topological semigroup, $sigma$ is a continuous involutive automorphism of $S$, and $upsilon$ is a complex measure with compact support and which is $sigma$invariant. (3) We prove the superstability theorems of the first functional equation.
0

279
301


Th.M.
Rassias
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
Greece
trassias@math.ntua.gr


Elhoucien
Elqorachi
Ibn Zohr University, Faculty of Sciences
Department of Mathematic, Agadir, Morocco
Morocco
elqorachi@hotmail.com


Ahmed
Redouani
Ibn Zohr University, Faculty of Sciences
Department of Mathematic, Agadir, Morocco
Iran
redouani−ahmed@yahoo.fr
semigroup
d'Alembert's equation
Van Vleck's equation, sine function
involution
multiplicative function, homomorphism, superstability
1

Fractional dynamical systems: A fresh view on the local qualitative theorems
https://ijnaa.semnan.ac.ir/article_505.html
10.22075/ijnaa.2016.505
1
The aim of this work is to describe the qualitative behavior of the solution set of a given system of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of the local center manifold theorem, the stable manifold theorem and the HartmanGrobman theorem to the scope of fractional differential systems. These latter two theorems establish that the qualitative behavior of the solution set of a nonlinear system of fractional differential equations near an equilibrium point is typically the same as the qualitative behavior of the solution set of the corresponding linearized system near the equilibrium point. Furthermore, we discuss the stability conditions for the equilibrium points of these systems. We point out that, the fractional derivative in these systems is in the Caputo sense.
0

303
318


Khosro
Sayevand
Faculty of Mathematical Sciences, Malayer University, P.O.Box 1684613114, Malayer, Iran
Iran
ksayehvand@malayeru.ac.ir
Fractional differential systems
Stable manifold theorem
HartmanGrobman theorem
Local center manifold theorem
Local qualitative theory
1

Asymptotic behavior of a system of two difference equations of exponential form
https://ijnaa.semnan.ac.ir/article_2317.html
10.22075/ijnaa.2017.1301.1320
1
In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(bar{x}, bar{y})$ of the system of two difference equations of exponential form:begin{equation*}x_{n+1}=dfrac{a+e^{(bx_n+cy_n)}}{d+bx_n+cy_n}, y_{n+1}=dfrac{a+e^{(by_n+cx_n)}}{d+by_n+cx_n}end{equation*}where $a, b, c, d$ are positive constants and the initial values $ x_0, y_0$ are positive real values.
0

319
329


Mai Nam
Phong
Department of Mathematical Analysis, University of Transport and Communications, Hanoi City, Vietnam
Vietnam
mnphong@utc.edu.vn


Vu Van
Khuong
Department of Mathematical Analysis, University of Transport and Communications, Hanoi City, Vietnam
Vietnam
vuvankhuong@gmail.com
Difference equations
boundedness
persistence
asymptotic behavior
rate of convergence
1

A numerical scheme for spacetime fractional advectiondispersion equation
https://ijnaa.semnan.ac.ir/article_2319.html
10.22075/ijnaa.2017.1129.1249
1
In this paper, we develop a numerical resolution of the spacetime fractional advectiondispersion equation. We utilize spectralcollocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed into a linear system of algebraic equations. Matrix formulation, error analysis and order of convergence of the proposed method are also discussed. Some numerical experiments are presented to demonstrate the effectiveness of the proposed method and to confirm the analytic results.
0

331
343


Shahnam
Javadi
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University
Iran
javadi@khu.ac.ir


Mostafa
Jani
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
Iran
std_jani@khu.ac.ir


Esmail
Babolian
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
Iran
babolian@khu.ac.ir
Advectiondispersion equation
Spacetime fractional PDE
Bernstein polynomials
Product integration
Spectralcollocation
1

On some generalisations of Brown's conjecture
https://ijnaa.semnan.ac.ir/article_2320.html
10.22075/ijnaa.2016.2320
1
Let $P$ be a complex polynomial of the form $P(z)=zdisplaystyleprod_{k=1}^{n1}(zz_{k})$,where $z_kge 1,1le kle n1$ then $ P^prime(z)ne 0$. If $z<dfrac {1}{n}$. In this paper, we present some interesting generalisations of this result.
0

345
349


Bashir Ahmad
Zargar
Department of Mathematics, University of Kashmir, Hazratbal, Srinagar, India
India
bazargar@gmail.com


Manzoor
Ahmad
Department of Mathematics, University of Kashmir, Hazratbal, Srinagar, India
India
mwali@gmail.com
Critical points
Sendove's Conjecture
Coincidence theorem of walsh
1

Existence of three solutions for a class of fractional boundary value systems
https://ijnaa.semnan.ac.ir/article_2321.html
10.22075/ijnaa.2017.1241.1296
1
In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. These problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive Banach space. To make the nonlinear methods work, some careful analysis of the fractional spaces involved is necessary. We also give an example to illustrate the obtained result.
0

351
362


Samad
Mohseni Kolagar
Department of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
Iran
mohseni.samad@gmail.com


Ghasem A.
Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, Iran
Iran
afrouzi@umz.ac.ir


Armin
Hadjian
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord 94531, Iran
Iran
hadjian83@gmail.com
Fractional differential equations
RiemannLiouville fractional derivatives
Variational methods
Three solutions
1

On best proximity points for multivalued cyclic $F$contraction mappings
https://ijnaa.semnan.ac.ir/article_2322.html
10.22075/ijnaa.2017.2322
1
In this paper, we establish and prove the existence of best proximity points for multivalued cyclic $F$ contraction mappings in complete metric spaces. Our results improve and extend various results in literature.
0

363
374


Konrawut
Khammahawong
King Mongkut's University of Technology Thonburi (KMUTT), 126 PrachaUthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
Thailand
k.konrawut@gmail.com


Parinya
Sa Ngiamsunthorn
Department of Mathematics,
Faculty of Science,
King Mongkut’s University of Technology Thonburi (KMUTT),
126 PrachaUthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.
Thailand
parinya.san@kmutt.ac.th


Poom
Kumam
King Mongkut's University of Technology Thonburi (KMUTT), 126 PrachaUthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand
Thailand
poom.kum@kmtt.ac.th
best proximity point
cyclic contraction
$F$contraction
multivalued mapping
metric space