Coupled systems of Caputo-Hadamard differential equations with coupled Hadamard fractional integral boundary conditions

Abstract

A coupled system of Caputo-Hadamard fractional differential equation and inclusion with coupled hybrid fractional boundary conditions is studied in this manuscript. For this coupled system of fractional differential equations, the existence result is obtained by applying an extension of Darbo's theorem associated to measures of noncompactness. Moreover, an numerical example illustrating the theoretical results is also included.