Boundary Value Problems
Volume 2011 (2011), Article ID 516481, 17 pages
doi:10.1155/2011/516481
Research Article

Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions

Anping Chen1,2 and Yi Chen2

1Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China
2School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China

Received 30 September 2010; Revised 21 January 2011; Accepted 26 February 2011

Academic Editor: Kanishka Perera

Copyright © 2011 Anping Chen and Yi 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 boundary value problem to Langevin equation involving two fractional orders. The Banach fixed point theorem and Krasnoselskii's fixed point theorem are applied to establish the existence results.