Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations

Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations

The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equation...

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Main Authors: Mohamed Hannabou, Hilal Khalid
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2019/2618982
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spelling doaj-f7352b9e7e6e4c93b29f82c2a3d01adc2020-11-25T00:55:07ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512019-01-01201910.1155/2019/26189822618982Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential EquationsMohamed Hannabou0Hilal Khalid1Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, BP 523, 23000 Beni-Mellal, MoroccoLaboratoire de Mathématiques Appliquées & Calcul Scientifique, Université Sultan Moulay Slimane, BP 523, 23000 Beni-Mellal, MoroccoThe study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equations. The novelty of this work is the study of a coupled system of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. We used the classical fixed-point theorems such as the Banach fixed-point theorem and Leray–Schauder alternative fixed-point theorem for existence results. We also give an example of the main results.http://dx.doi.org/10.1155/2019/2618982
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Hannabou
Hilal Khalid
spellingShingle Mohamed Hannabou
Hilal Khalid
Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
International Journal of Differential Equations
author_facet Mohamed Hannabou
Hilal Khalid
author_sort Mohamed Hannabou
title Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
title_short Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
title_full Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
title_fullStr Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
title_full_unstemmed Investigation of a Mild Solution to Coupled Systems of Impulsive Hybrid Fractional Differential Equations
title_sort investigation of a mild solution to coupled systems of impulsive hybrid fractional differential equations
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2019-01-01
description The study of coupled systems of hybrid fractional differential equations requires the attention of scientists for the exploration of their different important aspects. Our aim in this paper is to study the existence and uniqueness of the solution for impulsive hybrid fractional differential equations. The novelty of this work is the study of a coupled system of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. We used the classical fixed-point theorems such as the Banach fixed-point theorem and Leray–Schauder alternative fixed-point theorem for existence results. We also give an example of the main results.
url http://dx.doi.org/10.1155/2019/2618982
work_keys_str_mv AT mohamedhannabou investigationofamildsolutiontocoupledsystemsofimpulsivehybridfractionaldifferentialequations
AT hilalkhalid investigationofamildsolutiontocoupledsystemsofimpulsivehybridfractionaldifferentialequations
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