This article investigates the existence and stability of solutions for a class of generalized hybrid Langevin differential systems involving the \(\Psi \) -Hilfer fractional derivative. Utilizing Dhage fixed-point theorem and Banach fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions. The stability of these solutions is analyzed in the sense of Ulam–Hyers–Rassias, with the results framed under suitable assumptions on the nonlinear terms and the fractional operator. Furthermore, examples are provided to illustrate the relevance of the theoretical results by offering a solid foundation for comprehending fractional hybrid systems. This work contributes both theoretical and practical insights to the subject of fractional differential systems.
