Abstract
We study the existence and uniqueness of solutions for coupled Langevin differential equations of fractional order with multipoint boundary conditions involving generalized Liouville-Caputo fractional derivatives. Furthermore, we discuss Ulam-Hyers stability in the context of the problem at hand. The results are shown with examples. Results are asymmetric when a generalized Liouville-Caputo fractional derivative (rho) parameter is changed.