Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions

Year 2021, Volume: 5 Issue: 3, 316 - 329, 30.09.2021

Houas Mohamed

https://doi.org/10.31197/atnaa.683278

Cited By: 3

Abstract

In this work, we study existence and uniqueness of solutions for a coupled system of nonlinear fractional di¤erential equations involving two Caputo-Hadamard-type fractional derivatives. By applying the Banach's fixed point theorem and Shaefer's fixed point theorem, the existence of solutions is obtained.The results obtained in this work are well illustrated with the aid of examples.

Keywords

Caputo-Hadamard fractional calculs, Existence, Boundary conditions

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