Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

This paper is concerned with the existence and uniqueness of solutions for a coupled system of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville integral boundary conditions. The existence of solutions is derived by applying Leray-Schauder's alternative, while the uniqueness of solution is established via Banach's contraction principle. An illustrative example is also included. The paper concludes with some interesting observations.