Advances in Difference Equations
Volume 2010 (2010), Article ID 691721, 10 pages
doi:10.1155/2010/691721
Research Article

Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions

Ahmed Alsaedi and Bashir Ahmad

Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 17 March 2010; Revised 6 May 2010; Accepted 11 June 2010

Academic Editor: Kanishka Perera

Copyright © 2010 Ahmed Alsaedi and Bashir Ahmad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q∈(1,2] with three-point nonlocal fractional boundary conditions by applying some standard fixed point theorems.