Boundary Value Problems
Volume 2009 (2009), Article ID 625347, 11 pages
doi:10.1155/2009/625347
Research Article

Existence of Solutions for Fractional Differential Inclusions with Antiperiodic Boundary Conditions

Bashir Ahmad1 and Victoria Otero-Espinar2

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 21 January 2009; Revised 6 March 2009; Accepted 18 March 2009

Academic Editor: Juan J. Nieto

Copyright © 2009 Bashir Ahmad and Victoria Otero-Espinar. 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 study the existence of solutions for a class of fractional differential inclusions with anti-periodic boundary conditions. The main result of the paper is based on Bohnenblust-Karlins fixed point theorem. Some applications of the main result are also discussed.