Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions

Abstract

This paper investigates the existence of solutions for a nonlinear boundary value problem of sequential fractional differential equations with four-point nonlocal Riemann-Liouville type fractional integral boundary conditions. We apply Banach's contraction principle and Krasnoselskii's fixed point theorem to establish the existence of results. Some illustrative examples are also presented. © 2013 Versita Warsaw and Springer-Verlag Wien.