On a System of Coupled Langevin Equations in the Frame of Generalized Liouville–Caputo Fractional Derivatives

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 (ρ) parameter is changed. With its novel results, this paper makes a significant contribution to the relevant literature.