Existence of solutions for a coupled system of nonlinear fractional differential equations with fractional boundary conditions on the half line

In this article, we study a boundary value problem of a coupled system of nonlinear Riemann-Liouville type fractional differential equations with fractional boundary conditions on the half line. An appropriate compactness criterion is established to prove the existence of solutions of the problem by means of Schauder's fixed point theorem. An illustrative example is also given.