@article {
author = {Rassias, Michael Th. and Yang, Bicheng},
title = {A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {1-27},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.375},
abstract = {By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the reverses and some particular cases are also considered.},
keywords = {Hardy-Hilbert-type inequality,extended Riemann-zeta function,Hurwitz zeta function,Gamma function,weight function,equivalent form,operator},
url = {https://ijnaa.semnan.ac.ir/article_375.html},
eprint = {https://ijnaa.semnan.ac.ir/article_375_c8b2e9a805289b56d307b04d2e8cc8c1.pdf}
}
@article {
author = {Saiedinezhad, Somayeh},
title = {Some functional inequalities in variable exponent spaces with a more generalization of uniform continuity condition},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {29-38},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.439},
abstract = {Some functional inequalities in variable exponent Lebesgue spaces are presented. The bi-weighted 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.},
keywords = {Hardy type inequality,Variable exponent Lebesgue space,Modular type inequality.},
url = {https://ijnaa.semnan.ac.ir/article_439.html},
eprint = {https://ijnaa.semnan.ac.ir/article_439_a9ff1b7775e024c726cd0418c812bd7b.pdf}
}
@article {
author = {Valadkhani, A. and Hosseinioun, S.A.R.},
title = {Weak and $(-1)$-weak amenability of second dual of Banach algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {39-48},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.457},
abstract = {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.},
keywords = {Banach algebra,point derivation,(-1)-Weak amenability},
url = {https://ijnaa.semnan.ac.ir/article_457.html},
eprint = {https://ijnaa.semnan.ac.ir/article_457_caf6063aacac36ba84aaec150ac133f2.pdf}
}
@article {
author = {Fallahi, Kamal and Aghanians, Aris},
title = {Fixed points for Chatterjea contractions on a metric space with a graph},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {49-58},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.449},
abstract = {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.},
keywords = {$G$-Chatterjea mapping,Fixed point,orbitally $G$-continuous mapping},
url = {https://ijnaa.semnan.ac.ir/article_449.html},
eprint = {https://ijnaa.semnan.ac.ir/article_449_28e573679a0823fddb453f5c119bc3ee.pdf}
}
@article {
author = {Sadati, Zahra},
title = {Application of new basis functions for solving nonlinear stochastic differential equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {59-68},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.450},
abstract = {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.},
keywords = {New basis functions,Standard Brownian motion,Stochastic operational matrix,Nonlinear stochastic differential equations},
url = {https://ijnaa.semnan.ac.ir/article_450.html},
eprint = {https://ijnaa.semnan.ac.ir/article_450_5a634288d0d55d50b7448802c0a9f43d.pdf}
}
@article {
author = {Gupta, Vijay and Rassias, Th.},
title = {( p,q)-Genuine Baskakov-Durrmeyer operators},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {69-76},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.454},
abstract = {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.},
keywords = {q)$-Beta function,$(p,q)$-Gamma function,Baskakov operators,Durrmeyer variant,Steklov mean,$K$-functional,direct estimates},
url = {https://ijnaa.semnan.ac.ir/article_454.html},
eprint = {https://ijnaa.semnan.ac.ir/article_454_0436ce511d55e45b51b5f1bf2fc99a3d.pdf}
}
@article {
author = {Mohanta, Sushanta},
title = {Coincidence point and common fixed point results via scalarization function},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {77-91},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.478},
abstract = {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.},
keywords = {Cone $b$-metric space,scalarization function,point of coincidence,Common fixed point},
url = {https://ijnaa.semnan.ac.ir/article_478.html},
eprint = {https://ijnaa.semnan.ac.ir/article_478_fcdfd8b1214eedc472509c9cb0d177f6.pdf}
}
@article {
author = {Ugwunnadi, Godwin},
title = {Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {93-108},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.479},
abstract = {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.},
keywords = {Fixed point,Banach space,Asymptotically nonexpansive mapping},
url = {https://ijnaa.semnan.ac.ir/article_479.html},
eprint = {https://ijnaa.semnan.ac.ir/article_479_faac311c75f79ded9e0cb8b61b577217.pdf}
}
@article {
author = {Ekrami, Khalil and Mirzavaziri, Madjid and Ebrahimi Vishki, Hamid Reza},
title = {Product of derivations on C$^*$-algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {109-114},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.451},
abstract = {Let $\mathfrak{A}$ be an algebra. A linear mapping $\delta:\mathfrak{A}\to\mathfrak{A}$ is called a \textit{derivation} if $\delta(ab)=\delta(a)b+a\delta(b)$ for each $a,b\in\mathfrak{A}$. 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 $\delta\delta'=\Delta^2$ if and only if either $\delta'=0$ or $\delta=s\delta'$ for some $s\in\mathbb{C}$.},
keywords = {Derivation,C$^*$-algebra},
url = {https://ijnaa.semnan.ac.ir/article_451.html},
eprint = {https://ijnaa.semnan.ac.ir/article_451_0bbbe5991acf696ef672151434ad1e2a.pdf}
}
@article {
author = {Zhang, Xiaohong and Kim, Hee Sik and Neggers, Joseph},
title = {Some drifts on posets and its application to fuzzy subalgebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {115-125},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.503},
abstract = {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.},
keywords = {$Bin(X)$,(strong,oriented,positive,strict) upward drift,selective,$BCK$-algebra,fuzzy subalgebra},
url = {https://ijnaa.semnan.ac.ir/article_503.html},
eprint = {https://ijnaa.semnan.ac.ir/article_503_0e526cbeda0c0cac76e960d4f005b888.pdf}
}
@article {
author = {Mohammadzadeh Karizaki, Mehdi and Hassani, Mahmoud and Djordjevic, Dragan},
title = {The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {127-132},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.502},
abstract = {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.},
keywords = {Operator equation,Moore-Penrose inverse,Hilbert $C^*$-module},
url = {https://ijnaa.semnan.ac.ir/article_502.html},
eprint = {https://ijnaa.semnan.ac.ir/article_502_53db64a878b47ab121fa3552645e4306.pdf}
}
@article {
author = {Datta, Sanjib and Biswas, Tanmay and Dutta, Debasmita},
title = {Some inequalities in connection to relative orders of entire functions of several complex variables},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {133-141},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.518},
abstract = {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.},
keywords = {Entire function,several complex variables,relative order,relative lower order},
url = {https://ijnaa.semnan.ac.ir/article_518.html},
eprint = {https://ijnaa.semnan.ac.ir/article_518_df28fc621a27f6e4fc6e1ec5be008124.pdf}
}
@article {
author = {Keyhani, Eqbal and Hassani, Mahmoud and Amyari, Maryam},
title = {A generalization of Martindale's theorem to $(\alpha, \beta)-$homomorphism},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {143-151},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.481},
abstract = {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.},
keywords = {beta)-$multiplicative mapping,beta)-$multiplicative isomorphism,$(alpha,beta)-$additive mapping,multiplicative $(alpha,beta)-$derivations},
url = {https://ijnaa.semnan.ac.ir/article_481.html},
eprint = {https://ijnaa.semnan.ac.ir/article_481_ad67ee626a0c5ed5b5884900645f4b81.pdf}
}
@article {
author = {Hassani, Feysal},
title = {Algebras defined by homomorphisms},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {153-164},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.456},
abstract = {Let $\mathcal{R}$ be a commutative ring with identity, let $A$ and $B$ be two $\mathcal{R}$-algebras and $\varphi:B\longrightarrow A$ be an $\mathcal{R}$-additive algebra homomorphism. We introduce a new algebra $A\times_\varphi B$, and give some basic properties of this algebra. Generalized $2$-cocycle derivations on $A\times_\varphi B$ are studied. Accordingly, $A\times_\varphi B$ is considered from the perspective of Banach algebras.},
keywords = {algebra,cocycle,generalized derivation,Banach algebra},
url = {https://ijnaa.semnan.ac.ir/article_456.html},
eprint = {https://ijnaa.semnan.ac.ir/article_456_802d5ab4109a34749b6a7c2c7798aea9.pdf}
}
@article {
author = {Thabet, Sabri T. M. and Dhakne, Machindra B.},
title = {On boundary value problems of higher order abstract fractional integro-differential equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {165-184},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.520},
abstract = {The aim of this paper is to establish the existence of solutions of boundary value problems of nonlinear fractional integro-differential 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 Leray-Schauder type. Examples are exhibited to illustrate the main results.},
keywords = {Fractional integro-differential equations,boundary value problem,fixed point theorems},
url = {https://ijnaa.semnan.ac.ir/article_520.html},
eprint = {https://ijnaa.semnan.ac.ir/article_520_194aeb0c75105fe3eb3c003fb975b20e.pdf}
}
@article {
author = {Akrami, Mohamad Hossein and Erjaee, Gholam Hussain},
title = {Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {185-193},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1080.1228},
abstract = {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.},
keywords = {Fractional evolution equation,Cauchy problem,Fixed point theorem,Mild solution},
url = {https://ijnaa.semnan.ac.ir/article_2262.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2262_c2b9bd3c99a66a2db8f761f296a64c4b.pdf}
}
@article {
author = {Wang, Zhihua and Sahoo, Prasanna K.},
title = {Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {195-204},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1332.1329},
abstract = {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 Euler-Lagrange type additive functional equation \begin{align*} \sum^{n}_{j=1}f{\bigg(-r_{j}x_{j}+\sum_{1\leq i \leq n, i\neq j}r_{i}x_{i}\bigg)}+2\sum^{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 $1\leq i< j\leq n$.},
keywords = {Fixed point theorem,Lie $(alpha,beta,gamma)$-derivation,Lie $C^{ast}$-algebra homomorphisms,generalized Hyers-Ulam stability},
url = {https://ijnaa.semnan.ac.ir/article_2263.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2263_c8c5159b5ec222ee67da73e89bf61592.pdf}
}
@article {
author = {Arab, Reza and Allahyari, Reza and Shole Haghighi, Ali},
title = {Existence of solutions of infinite systems of integral equations in the Frechet spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {205-216},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1074.1222},
abstract = {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.},
keywords = {Measure of noncompactness,Frechet space,Tychonoff fixed point theorem,Infinite systems of equations},
url = {https://ijnaa.semnan.ac.ir/article_2264.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2264_d473862b05d2a18a6a30b75788356ff0.pdf}
}
@article {
author = {Chandok, Sumit},
title = {Some common fixed point theorems for Gregus type mappings},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {217-228},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.10452.1504},
abstract = {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.},
keywords = {Common fixed point,convex set,commuting maps,compatible maps,compatible maps of type (A),compatible maps of type (B),affine map},
url = {https://ijnaa.semnan.ac.ir/article_2272.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2272_ae88375151c0dfb6fc680b0a1f00781f.pdf}
}
@article {
author = {Venetis, John and Sideridis, Emilios},
title = {A contribution to approximate analytical evaluation of Fourier series via an Applied Analysis standpoint; an application in turbulence spectrum of eddies},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {229-242},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.10573.1510},
abstract = {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 time-returning period can be actually supposed to tend to infinity.},
keywords = {Orthogonal functions,Abel's summability,Poisson's kernel,Von Karman's spectrum},
url = {https://ijnaa.semnan.ac.ir/article_2308.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2308_89fe59563da22b632b56d4c4ff3a0620.pdf}
}
@article {
author = {Nikazad, Touraj and Mirzapour, Mahdi},
title = {Projected non-stationary simultaneous iterative methods},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {243-251},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.501},
abstract = {In this paper, we study Projected non-stationary Simultaneous It-erative Reconstruction Techniques (P-SIRT). Based on algorithmic op-erators, convergence result are adjusted with Opial’s Theorem. The advantages of P-SIRT are demonstrated on examples taken from to-mographic imaging.},
keywords = {Simultaneous iterative reconstruction techniques,convex feasibility problem,(firmly) nonexpansive operator,cutter operator},
url = {https://ijnaa.semnan.ac.ir/article_501.html},
eprint = {https://ijnaa.semnan.ac.ir/article_501_d9a27af16a0f373c8ccda25b95136ec7.pdf}
}
@article {
author = {Ho, Vu},
title = {Random fractional functional differential equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {253-267},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.980.1185},
abstract = {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.},
keywords = {Sample fractional integral,Sample fractional derivative,Fractional differential equations,random differential equations,Caputo fractional derivative},
url = {https://ijnaa.semnan.ac.ir/article_2309.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2309_3b8da04d29148ca35bf85766e16ab224.pdf}
}
@article {
author = {Damirchi, Javad and Rahimi shamami, Taher},
title = {Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {269-277},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.458},
abstract = {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 Runge-Kutta method. The technique is described and is illustrated with one numerical example. The numerical results shown that the reliability and efficiency of the method.},
keywords = {Differential transform method,Systems of nonlinear ordinary differential equations,Pade approximation,Fourth order Runge-Kutta method},
url = {https://ijnaa.semnan.ac.ir/article_458.html},
eprint = {https://ijnaa.semnan.ac.ir/article_458_eb4989c1d76da877a5c06a66b8d994fd.pdf}
}
@article {
author = {Rassias, Th.M. and Elqorachi, Elhoucien and Redouani, Ahmed},
title = {Solutions and stability of variant of Van Vleck's and D'Alembert's functional equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {279-301},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1803.1472},
abstract = {In this paper. (1) We determine the complex-valued solutions of the following variant of Van Vleck's functional equation $$\int_{S}f(\sigma(y)xt)d\mu(t)-\int_{S}f(xyt)d\mu(t) = 2f(x)f(y), \;x,y\in S,$$ 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 $(\delta_{z_{i}})_{i\in I}$, such that for all $i\in I$, $z_{i}$ is contained in the center of $S$. (2) We determine the complex-valued continuous solutions of the following variant of d'Alembert's functional equation $$\int_{S}f(xty)d\upsilon(t)+\int_{S}f(\sigma(y)tx)d\upsilon(t) = 2f(x)f(y), \;x,y\in S,$$ 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.},
keywords = {semigroup,d'Alembert's equation,Van Vleck's equation, sine function,involution,multiplicative function, homomorphism, superstability},
url = {https://ijnaa.semnan.ac.ir/article_774.html},
eprint = {https://ijnaa.semnan.ac.ir/article_774_ac5ba88e6d8ed3f180cc2ff75a074111.pdf}
}
@article {
author = {Sayevand, Khosro},
title = {Fractional dynamical systems: A fresh view on the local qualitative theorems},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {303-318},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.505},
abstract = {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 Hartman-Grobman 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.},
keywords = {Fractional differential systems,Stable manifold theorem,Hartman-Grobman theorem,Local center manifold theorem,Local qualitative theory},
url = {https://ijnaa.semnan.ac.ir/article_505.html},
eprint = {https://ijnaa.semnan.ac.ir/article_505_6dd6f750a1f5b7ac40e8c8f4e08ab830.pdf}
}
@article {
author = {Phong, Mai Nam and Khuong, Vu Van},
title = {Asymptotic behavior of a system of two difference equations of exponential form},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {319-329},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1301.1320},
abstract = {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.},
keywords = {Difference equations,boundedness,persistence,asymptotic behavior,rate of convergence},
url = {https://ijnaa.semnan.ac.ir/article_2317.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2317_fd9ef87284cd65c4c0051d2f2524b18c.pdf}
}
@article {
author = {Javadi, Shahnam and Jani, Mostafa and Babolian, Esmail},
title = {A numerical scheme for space-time fractional advection-dispersion equation},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {331-343},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1129.1249},
abstract = {In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation 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.},
keywords = {Advection-dispersion equation,Space-time fractional PDE,Bernstein polynomials,Product integration,Spectral-collocation},
url = {https://ijnaa.semnan.ac.ir/article_2319.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2319_26e1ee558045f8ddff548d3f3b47e268.pdf}
}
@article {
author = {Zargar, Bashir Ahmad and Ahmad, Manzoor},
title = {On some generalisations of Brown's conjecture},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {345-349},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.2320},
abstract = {Let $P$ be a complex polynomial of the form $P(z)=z\displaystyle\prod_{k=1}^{n-1}(z-z_{k})$,where $|z_k|\ge 1,1\le k\le n-1$ then $ P^\prime(z)\ne 0$. If $|z|<\dfrac {1}{n}$. In this paper, we present some interesting generalisations of this result.},
keywords = {Critical points,Sendove's Conjecture,Coincidence theorem of walsh},
url = {https://ijnaa.semnan.ac.ir/article_2320.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2320_2cb9da095415c881426e1ad3495e119c.pdf}
}
@article {
author = {Mohseni Kolagar, Samad and Afrouzi, Ghasem A. and Hadjian, Armin},
title = {Existence of three solutions for a class of fractional boundary value systems},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {351-362},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1241.1296},
abstract = {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.},
keywords = {Fractional differential equations,Riemann-Liouville fractional derivatives,Variational methods,Three solutions},
url = {https://ijnaa.semnan.ac.ir/article_2321.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2321_5863ebd05baaf26bc703c4dde8cca5ba.pdf}
}
@article {
author = {Khammahawong, Konrawut and Sa Ngiamsunthorn, Parinya and Kumam, Poom},
title = {On best proximity points for multivalued cyclic $F$-contraction mappings},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {363-374},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.2322},
abstract = {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.},
keywords = {best proximity point,cyclic contraction,$F$-contraction,multivalued mapping,metric space},
url = {https://ijnaa.semnan.ac.ir/article_2322.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2322_a14950d6213380e677cbc576639e0d60.pdf}
}