A coupled system of Riemann-Liouville type fractional Langevin equations with nonlocal multi-point and multi-strip coupled boundary conditions

Abstract

In this paper, we investigate the existence and uniqueness of solutions for a coupled system of nonlinear Riemann–Liouville type fractional Langevin equations equipped with nonlocal multi-point and multi-strip coupled boundary conditions. We make use of the Leray-Schauder's  alternative and Banach's fixed point theorem to derive the desired results, which are well-illustrated with examples. Our results are useful in the given  configuration and enrich the literature on boundary value problems for fractional Langevin equations.