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Research Article | Open Access

Qualitative analysis of coupled system of sequential fractional integrodifferential equations

Hira Waheed1, Akbar Zada1, Rizwan Rizwan2( ), Choonkil Park3( ), Niamat Ullah4
Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
Department of Mathematics, University of Buner, Buner, Pakistan
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Department of Computer Science, University of Buner, Buner, Pakistan
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Abstract

In this article we explore the existence, uniqueness, and stability for a coupled system of sequential fractional integrodifferential equations involving ψ–Hilfer fractional derivative with multi–point boundary conditions. For the uniqueness result we use Banach fixed point theorem, and the Leray–Schauder alternative to obtain the existence result. Further, we investigate various kinds of stability such as Hyers–Ulam stability. Examples are provided to verify our results.

Keywords

ψ–Hilfer fractional derivativesystem of integrodifferential equationsexistence and uniquenessstabilitycontrollabilityfixed point theorem
CLC number: 26A33, 34A08, 34B27

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AIMS Mathematics
Volume 7 Issue 5,
May 2022
Pages 8012-8034
DOI: 10.3934/math.2022447

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Cite this article:
Waheed H, Zada A, Rizwan R, et al. Qualitative analysis of coupled system of sequential fractional integrodifferential equations. AIMS Mathematics, 2022, 7(5): 8012-8034. https://doi.org/10.3934/math.2022447

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Received: 04 November 2022
Revised: 25 January 2022
Accepted: 07 February 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)