A Novel Approach to Coupled Caputo-Hadamard Hybrid Fractional Differential Equations in a Bounded Domain

Abstract

In this study, we explored the existence and uniqueness of solutions for a system composed of two hybrid fractional equations, utilizing the Caputo-Hadamard (C-H) derivative. Our approach relies primarily on the Banach contraction mapping principle (BCMP) and Schaefer’s fixed point theorem. Furthermore, the U-H technique is applied to confirm the stability of the obtained solution. To conclude, a concrete example is provided to illustrate the theoretical results.