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

doi:10.3934/math.2024908

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

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	18670-18687
Number of pages	18
Journal	AIMS Mathematics
Volume	9
Issue number	7
DOIs	https://doi.org/10.3934/math.2024908
State	Published - 2024

Keywords

coupled system
fixed point theorem
fractional impulsive hybrid integro-differential equations
hybrid boundary conditions

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10.3934/math.2024908

Cite this

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title = "One class class of coupled system fractional impulsive hybrid integro-differential equations",

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{\textquoteright}s fixed point theorem. This study ended with two applied examples to facilitate understanding of the theoretical results obtained.",

keywords = "coupled system, fixed point theorem, fractional impulsive hybrid integro-differential equations, hybrid boundary conditions",

author = "Mohamed Hannabou and Muath Awadalla and Mohamed Bouaouid and Elamin, \{Abd Elmotaleb A.M.A.\} and Khalid Hilal",

note = "Publisher Copyright: {\textcopyright} 2024 the Author(s), licensee AIMS Press.",

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AU - Hannabou, Mohamed

AU - Awadalla, Muath

AU - Bouaouid, Mohamed

AU - Elamin, Abd Elmotaleb A.M.A.

AU - Hilal, Khalid

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - coupled system

KW - fixed point theorem

KW - fractional impulsive hybrid integro-differential equations

KW - hybrid boundary conditions

UR - https://www.scopus.com/pages/publications/85195109493

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DO - 10.3934/math.2024908

M3 - Article

AN - SCOPUS:85195109493

SN - 2473-6988

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EP - 18687

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 7

ER -

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

Abstract

Keywords

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