Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 527969, 13 pages
http://dx.doi.org/10.1155/2012/527969
Research Article

Weak Solutions for Nonlinear Fractional Differential Equations in Banach Spaces

Wen-Xue Zhou,1,2 Ying-Xiang Chang,1 and Hai-Zhong Liu1

1Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China
2College of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China

Received 26 February 2012; Revised 12 April 2012; Accepted 6 May 2012

Academic Editor: Seenith Sivasundaram

Copyright © 2012 Wen-Xue Zhou et al. 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 weak solutions for a nonlinear boundary value problem of fractional differential equations in Banach space. Our analysis relies on the Mönch's fixed point theorem combined with the technique of measures of weak noncompactness.