Hyers–Ulam stability of coupled implicit fractional integro-differential equations with Riemann–Liouville derivatives

Mehboob Alam and Dildar Shah

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this article, we investigate the existence, uniqueness, and stability of coupled implicit fractional integro-differential equations with Riemann–Liouville derivatives. We analyze the existence and uniqueness of the projected model with the help of Banach contraction principle, Schauder’s fixed point theorem, and Krasnoselskii’s fixed point theorem. Moreover, we present different types of stability using the classical technique of functional analysis. To illustrate our theoretical results, at the end we give an example.

Keywords: Riemann–Liouville fractional derivative; Coupled system; Hyers–Ulam stability; Hyers–Ulam–Rassias stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004768

DOI: 10.1016/j.chaos.2021.111122

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