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

Mohamed Hannabou; Muath Awadalla; Mohamed Bouaouid; Abd Elmotaleb A. M. A. Elamin; Khalid Hilal; Mohamed Hannabou; Muath Awadalla; Mohamed Bouaouid; Abd Elmotaleb A. M. A. Elamin; Khalid Hilal

doi:10.3934/math.2024908

AIMS Mathematics

2024, Volume 9, Issue 7: 18670-18687. doi: 10.3934/math.2024908

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Research article

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

1.
Department of Mathematics and Computer Sciences, Sultan Moulay Slimane University, Beni Mellal, Morocco
2.
Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf, Al Ahsa 31982, Saudi Arabia
3.
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, BP 523, 23000 Beni Mellal, Morocco
4.
Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail, Al-Kharj 11942, Saudi Arabia

Received: 20 March 2024 Revised: 11 May 2024 Accepted: 20 May 2024 Published: 04 June 2024
MSC : 26A33, 34B15, 34B18

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.
- coupled system,
- fractional impulsive hybrid integro-differential equations,
- fixed point theorem,
- hybrid boundary conditions
Citation: Mohamed Hannabou, Muath Awadalla, Mohamed Bouaouid, Abd Elmotaleb A. M. A. Elamin, Khalid Hilal. One class class of coupled system fractional impulsive hybrid integro- differential equations[J]. AIMS Mathematics, 2024, 9(7): 18670-18687. doi: 10.3934/math.2024908

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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.

References

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