Boundary Value Problems
Volume 2009 (2009), Article ID 708576, 11 pages
doi:10.1155/2009/708576
Research Article

Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions

Bashir Ahmad1 and Juan J. Nieto2

1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Received 9 December 2008; Revised 13 January 2009; Accepted 23 January 2009

Academic Editor: Donal O'Regan

Copyright © 2009 Bashir Ahmad and Juan J. Nieto. 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

This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order q∈(1,2] with integral boundary conditions. Our results are based on contraction mapping principle and Krasnosel'skiĭ's fixed point theorem.