Abstract
We introduce a new concept of the coupling of nonlocal integral and integer-fractional-order Neumann type boundary conditions, and discuss the existence and uniqueness of solutions for a coupled system of fractional differential equations supplemented with these conditions. The existence of solutions is derived from Leray-Schauder's alternative and Schauder's fixed point theorem, while the uniqueness of solutions is established by means of Banach's contraction mapping principle. The results obtained in this paper are well illustrated with the aid of examples.