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Research Article | Open Access

Boundary value problems of hybrid fractional integro-differential systems involving the conformable fractional derivative

Ala Eddine Taier1( ), Ranchao Wu1, Naveed Iqbal2
School of Mathematical Sciences, Anhui University, Hefei 230601, China
Department of Mathematics, College of Science, University of Ha′il, Ha′il 2440, Saudi Arabia
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Abstract

In this paper, we study a boundary value problem for the hybrid fractional integro-differential system involving the conformable fractional derivative. We first discuss the existence of solutions using the Krasnoselskii fixed point theorem. The second result will be the existence and uniqueness of solution and we obtain it using the Banach fixed point theorem. Finally, we end our work with an example to illustrate our results.

Keywords

integro-differential systemconformable fractional derivativefixed point theoremexistence and uniqueness
CLC number: 26A33, 34A08, 34A12

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26260-26274
DOI: 10.3934/math.20231339

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Cite this article:
Taier AE, Wu R, Iqbal N. Boundary value problems of hybrid fractional integro-differential systems involving the conformable fractional derivative. AIMS Mathematics, 2023, 8(11): 26260-26274. https://doi.org/10.3934/math.20231339

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Received: 17 March 2023
Revised: 28 May 2023
Accepted: 07 June 2023
Published: 15 November 2023
©2023 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)