Abstract
We investigate the existence and uniqueness results for coupled Langevin differential equations of fractional order with Katugampola integral 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 generalised Liouville-Caputo fractional derivative (rho) parameter is changed. With its novel results, this paper makes a significant contribution to the relevant literature.