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Research Article | Open Access

One class class of coupled system fractional impulsive hybrid integro- differential equations

Mohamed Hannabou1( ), Muath Awadalla2, Mohamed Bouaouid3, Abd Elmotaleb A. M. A. Elamin4( ), Khalid Hilal3
Department of Mathematics and Computer Sciences, Sultan Moulay Slimane University, Beni Mellal, Morocco
Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf, Al Ahsa 31982, Saudi Arabia
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, BP 523, 23000 Beni Mellal, Morocco
Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Al-Kharj 11942, Saudi Arabia
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Abstract

In this research, we investigate the existence of solution for a class of coupled fractional impulsive hybrid integro-differential equations with hybrid boundary conditions. Our primary tools for this analysis are the Banach contraction mapping principle (BCMP) and Schaefer's fixed point theorem. This study ended with two applied examples to facilitate understanding of the theoretical results obtained.

Keywords

coupled systemfractional impulsive hybrid integro-differential equationsfixed point theoremhybrid boundary conditions
CLC number: 26A33, 34B15, 34B18

References

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 18670-18687
DOI: 10.3934/math.2024908

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Hannabou M, Awadalla M, Bouaouid M, et al. One class class of coupled system fractional impulsive hybrid integro- differential equations. AIMS Mathematics, 2024, 9(7): 18670-18687. https://doi.org/10.3934/math.2024908

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Received: 20 March 2024
Revised: 11 May 2024
Accepted: 20 May 2024
Published: 15 July 2024
©2024 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)