Existence and uniqueness results on coupled Caputo-Hadamard fractional differential equations in a bounded domain

Abstract

In this article, we study the existence and uniqueness of solutions for a boundary value problem of coupled system of Caputo-Hadamard fractional differential equations in a bounded domain. Banach contraction mapping principle and Schaefer?s fixed point theorem are the main tools of our study. An example is presented at the end to support the main result.