On Hadamard-Caputo Implicit Fractional Integro-Differential Equations With Boundary Fractional Conditions
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Authors: A. A. HAMOUD, C. KECHAR, A. ARDJOUNI, H. EMADIFAR, A. KUMAR AND L. ABUALIGAH
DOI: 10.46793/KgJMat2603.491H
Abstract:
The purpose of this paper is to investigate the existence and uniqueness of solutions for nonlinear fractional implicit integro-differential equations of Hadamard-Caputo type with fractional boundary conditions. The reasoning is inspired by diverse classical fixed point theory, such as the Schauder and Banach fixed point theorems. The theoretical findings are illustrated through an example.
Keywords:
Fixed point theorems, existence, uniqueness, Hadamard-Caputo fractional derivative, integro-differential equation.
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