A coupled system of fractional differential equations with nonlocal integral boundary conditions

Abstract

In this paper, we prove the existence and uniqueness of solutions for a system of fractional differential equations with Riemann-Liouville integral boundary conditions of different order. Our results are based on the nonlinear alternative of Leray-Schauder type and Banach's fixed-point theorem. An illustrative example is also presented. MSC: 34A08, 34A12, 34B15. © 2012 Ntouyas and Obaid; licensee Springer.