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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Bibliographic Details
Main Authors: Mohamed Hannabou, Hilal Khalid
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2019/2618982
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Summary: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.
ISSN:1687-9643
1687-9651