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

Abstract

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 the Schauder fixed point theorem. An illustrative example is also given. © 2013 Liu et al.