Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions

In this paper we study existence and uniqueness of solutions for coupled systems consisting from fractional differential equations of Riemann-Liouville type subject to coupled and uncoupled Hadamard fractional integral boundary conditions. The existence and uniqueness of solutions is established by Banach s contraction principle, while the existence of solutions is derived by using Leray-Schauder s alternative. Examples illustrating our results are also presented.