On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments
Maryam Ahmed Alyami and
Mohamed Abdalla Darwish
Chaos, Solitons & Fractals, 2020, vol. 131, issue C
Abstract:
We consider the solvability and asymptotic stability of a quadratic Erdélyi-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,∞), Schauder’s fixed point theorem and the measure of noncompactness in this space are the main tools used to prove our main result.
Keywords: Erdélyi-Kober; Functional integral equation; Asymptotic stability; Measure of noncompactness; Schauder fixed point theorem (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304217
DOI: 10.1016/j.chaos.2019.109475
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