The existence, uniqueness and Ulam–Hyers stability results of a hybrid coupled system with \(\Psi \)-Caputo fractional derivatives

In this paper, the existence of unique solution is established for a coupled system of fractional differential equations that involves \(\Psi \) $\mathrm{\Psi }$ -Caputo fractional derivatives using the Banach contraction principle. we also discover at least one solution to the aforementioned system by employing certain assumptions and the Leray-Schauder alternative fixed point theorem. Subsequently, the Ulam–Hyers stability is discussed. Finally, a relevant example is utilized to support the main findings.