Coupled Systems of $$\psi $$-Caputo Differential Equations with Initial Conditions in Banach Spaces

Abstract

In this paper, we study the existence of solutions for coupled systems of $$\psi $$ -Caputo fractional differential equations with initial conditions in Banach Spaces. The method used in this study is based on the well-known Monch’s fixed point theorem combined with the technique of measures of noncompactness. As an application, an example is given to illustrate the theoretical results.