Existence Results of Impulsive Hybrid Fractional Differential Equations with Initial and Boundary Hybrid Conditions
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Authors: M. HANNABOU, M. BOUAOUID AND K. HILAL
DOI: 10.46793/KgJMat2504.555H
Abstract:
In this paper, we establish sufficient conditions for the existence and uniqueness of solution of impulsive hybrid fractional differential equations with initial and boundary hybrid conditions. The proof of the main result is based on the classical fixed point theorems such as Banach fixed point theorem and Leray-Schauder alternative fixed point theorem. Two examples are included to show the applicability of our results.
Keywords:
Hybrid systems of ordinary differential equations, fractional derivatives and integrals, fixed-point theorems.
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