Abstract
In this paper, we study boundary value problem of system of generalized Sturm-Liouville and Langevin Hadamard fractional differential equations. Existence and uniqueness results are proved via Banach contraction principle and Leray-Schauder fixed point theorem. Besides, the Ulam-Hyers and Ulam-Hyers-Rassias stability results are addressed for the proposed problem. An example illustrating the effectiveness of the theoretical results is presented.