A coupled non-separated system of Hadamard-type fractional differential equations

Year 2022, Volume: 6 Issue: 1, 33 - 44, 31.03.2022

Saleh Redhwan , Suad Al-mayyahi Sadikali Shaikh Mohammed Abdo

https://doi.org/10.31197/atnaa.925365

Cited By: 1

Abstract

In this article, we discuss the existence and uniqueness of solutions of a coupled non-separated system for
fractional differential equations involving a Hadamard fractional derivative. The existence and uniqueness
results obtained in the present study are not only new but also cover some results corresponding to special
values of the parameters involved in the Caputo problems. These developed results are obtained by apply-
ing Banach's fixed point theorem and Leray-Schauder's nonlinear alternative. An example is presented to
illustrate our main results.

Keywords

Fractional differential equations, fixed point theorems, boundary conditions Generalized fractional operators

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