Advances in Difference Equations
Volume 2011 (2011), Article ID 404917, 16 pages
doi:10.1155/2011/404917
Research Article

Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

Liu Yang1,2 and Haibo Chen1

1Department of Mathematics, Central South University, Changsha, Hunan 410075, China
2Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, China

Received 18 September 2010; Accepted 4 January 2011

Academic Editor: Mouffak Benchohra

Copyright © 2011 Liu Yang and Haibo Chen. 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 a nonlocal boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O'Regan, we establish sufficient conditions for the existence of at least one solution of the problem. For the illustration of the main result, an example is given.