A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903420211201An existence result for a class of (p(x),q(x))-Laplacian system via sub-supersolution method1868540110.30495/maca.2021.1937515.1024ENSalehShakeriDepartment of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, P. O. Box 678, IranJournal Article20210810This study concerns the existence of positive solution for the following nonlinear boundary value problem<br />begin{gather*}<br />-Delta_{p(x)} u= a(x)h(u) + f(v) quadtext{in }Omega\<br />-Delta_{q(x)} v=b(x)k(v) + g(u) quadtext{in }Omega\<br />u=v= 0 quadtext{on } partial Omega<br />end{gather*}<br />where $p(x),q(x) in C^1(mathbb{R}^N)$ are radial symmetric functions such that $sup|nabla p(x)| < infty,$ $sup|nabla q(x)|<infty$ and $1 < inf p(x) leq sup p(x) <infty,1 < inf q(x) leq sup q(x) < infty$, and where $-Delta_{p(x)} u = -mathop{rm div}|nabla u|^{p(x)-2}nabla u,-Delta_{q(x)} v =-mathop{rm div}|nabla v|^{q(x)-2}nabla v$ respectively are called $p(x)$-Laplacian and $q(x)$-Laplacian, $Omega = B(0 , R) = {x | |x| < R}$ is a bounded radial symmetric domain, where $R > 0$ is a sufficiently large constant. We discuss the existence of positive solution via sub-supersolutions without assuming sign conditions on $f(0)$ and $g(0)$.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903420211201On closedness of convolution of two sets91268557810.30495/maca.2021.1935853.1020ENSeyyed MohammadTabatabaieDepartment of Mathematics, University of Qom, Qom, IranJournal Article20210718In this note, we give an abstract version of the fact that convolution of two closed and compact subsets of a hypergroup is a closed set.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903420211201On a nonlinear abstract second-order integrodifferential equation part I132468557910.30495/maca.2021.1936023.1022ENMohammed AijazuddinHussainH.no 3-8-44\slash2(1-25-176), Manzoorpura, Near Shahgunj, Aurangabad (431001), Maharashtra, India0000-0003-4204-0679Journal Article20210719The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear second-order integrodifferential equations. In the theory of infinitesimal generator of $C_0$- semigroup in a Banach space, the fixed point theorems of Schauder and Banach are used to establish our main results.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903420211201Numerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials254068564410.30495/maca.2021.1938222.1025ENMohammad HosseinDerakhshanDepartment of Industrial Engineering, Apadana Institute of Higher Education, Shiraz, IranJournal Article20210819In this paper, an efficient numerical method based on operational matrices of the second kind Chebyshev polynomials is used for the solution of a coupled system of fractional-order integrodifferential equations that the fractional derivative is given in Caputo's sense. The operational matrices of the second kind Chebyshev polynomials reduce the given equations to a system of linear algebraic equations. An approximate solution is calculated by extending the functions in terms of the second kind Chebyshev polynomials and applying operational matrices. Unknown coefficients are obtained by solving the final system of linear equations. Also, convergence analysis and error bound of the solution are studied in this paper. Moreover, to check the reliability and accuracy of the given method. The numerical examples have been shown and the results of the described method are compared with the Haar wavelet method. The obtained results authenticate that the displayed method is effortless to analyze and perform such types of problems. All methods for the proposed method are applied in MATLAB (R2020b) software.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903420211201Multiplicity results for the nonlinear p-Laplacian fractional boundary value problems416268616810.30495/maca.2021.1938349.1026ENTawanda GallanChakuvingaDepartment of Mathematics, Ege University, 35100 Bornova, Izmir, TurkeyFatma SerapTopalDepartment of Mathematics, Ege University, 35100 Bornova, Izmir, TurkeyJournal Article20210821This paper investigates the existence of single and multiple positive positive solutions of fractional differential equations with p-Laplacian by means of the Green's function properties, the Guo-Krasnosel'skii fixed point theorem, the monotone iterative technique accompanied by established sufficient conditions and the Leggett-Williams fixed point theorem. Additionally, the main results are illustrated by some examples to show their validity.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98903420211201Bifuzzy d-algebras under norms638368580310.30495/maca.2021.1938454.1027ENRasulRasuliDepartment of Mathematics, Payame Noor University, Tehran, Iran.Journal Article20210822In this paper, by using norms (t-norms and t-conorms), we introduce the notions of bifuzzy d-algebras and bifuzzy d-ideals of d-algebras and investigate several interesting properties. Next, we consider their intersection and product. Finally, we obtain some results about them under d-algebra homomorphisms.