On asymptotic stable solutions of a quadratic Erdelyi-Kober fractional functional integral equation with linear modification of the arguments

被引：4
作者：
Alyami, Maryam Ahmed [1 ]
Darwish, Mohamed Abdalla [2 ]
机构：
[1] King Abdulaziz Univ, Sci Fac Girls, Dept Math, Jeddah, Saudi Arabia
[2] Damanhour Univ, Fac Sci, Dept Math, Damanhour, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 131卷 / 131期
关键词：
Erdelyi-Kober; Functional integral equation; Asymptotic stability; Measure of noncompactness; Schauder fixed point theorem; EXISTENCE; STABILITY; BEHAVIOR;
D O I：
10.1016/j.chaos.2019.109475
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the solvability and asymptotic stability of a quadratic Erdelyi-Kober fractional functional integral equation with linear modification of the argument. In the Banach space of functions which are bounded and continuous on R+ := [0, infinity), Schauder's fixed point theorem and the measure of noncompactness in this space are the main tools used to prove our main result. (C) 2019 Elsevier Ltd. All rights reserved.
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