Volume 4 (2022)
Volume 3 (2021)
Volume 2 (2020)
Volume 1 (2019)
Number of Articles: 6
An existence result for a class of (p(x),q(x))-Laplacian system via sub-supersolution method
Volume 3, Issue 4 , December 2021, Pages 1-8
Abstract
This study concerns the existence of positive solution for the following nonlinear boundary value problem\begin{gather*}-\Delta_{p(x)} u= a(x)h(u) + f(v) \quad\text{in }\Omega\\-\Delta_{q(x)} v=b(x)k(v) + g(u) \quad\text{in }\Omega\\u=v= 0 \quad\text{on } \partial \Omega\end{gather*}where $p(x),q(x) ... Read MoreOn closedness of convolution of two sets
Volume 3, Issue 4 , December 2021, Pages 9-12
Abstract
In 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. Read MoreOn a nonlinear abstract second-order integrodifferential equation part I
Volume 3, Issue 4 , December 2021, Pages 13-24
Abstract
The 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 ... Read MoreNumerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials
Volume 3, Issue 4 , December 2021, Pages 25-40
Abstract
In 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 ... Read MoreMultiplicity results for the nonlinear p-Laplacian fractional boundary value problems
Volume 3, Issue 4 , December 2021, Pages 41-62
Abstract
This 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 ... Read MoreBifuzzy d-algebras under norms
Volume 3, Issue 4 , December 2021, Pages 63-83