Applied Mathematical Techniques for the Stability and Solution of Hybrid Fractional Differential Systems

This paper addresses a coupled system of hybrid fractional differential equations governed by non-local Hadamard-type boundary conditions. The study focuses on proving the existence, uniqueness, and stability of the system’s solutions. To achieve this, we apply Banach’s fixed point theorem and the Leray–Schauder alternative, while the stability is verified through the Ulam–Hyers framework. Additionally, a numerical example is presented to illustrate the practical relevance of the theoretical findings.