Existence of solutions for a sequential fractional differential system with coupled boundary conditions

© 2016, Jiang and Liu.This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is established via Banach’s contraction principle. Two examples are then given to demonstrate the validity of our main results