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

Abstract

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.