Investigation of a Coupled System of Nonlinear Fractional Langevin Equations with Nonlocal Coupled Integral Boundary Conditions

A Caputo type coupled system of nonlinear fractional Langevin equations supplemented with a new class of nonlocal multi-point and multi-strip coupled boundary conditions is investigated. The existence and uniqueness results for the given problem are proved by applying the Leray–Schauder’s alternative and Banach’s fixed point theorem, respectively. Examples illustrating the obtained results are presented. The Ulam–Hyers stability for the given problem is also discussed. Some new results appearing as special cases of the present ones are also recorded.