International Journal of Differential Equations
Volume 2009 (2009), Article ID 417606, 9 pages
doi:10.1155/2009/417606
Research Article

Existence of Solutions for Integrodifferential Equations of Fractional Order with Antiperiodic Boundary Conditions

Ahmed Alsaedi

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

Received 13 August 2009; Accepted 12 November 2009

Academic Editor: Juan Jose Nieto

Copyright © 2009 Ahmed Alsaedi. 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 discuss the existence of solutions for a nonlinear antiperiodic boundary value problem of integrodifferential equations of fractional order q∈(1,2]. The contraction mapping principle and Krasnoselskii's fixed point theorem are applied to establish the results.