Abstract and Applied Analysis
Volume 2013 (2013), Article ID 531038, 12 pages
http://dx.doi.org/10.1155/2013/531038
Research Article

The Positive Properties of Green’s Function for Fractional Differential Equations and Its Applications

Fuquan Jiang,1 Xiaojie Xu,2 and Zhongwei Cao3

1The Department of Foundation, Harbin Finance University, Harbin 150030, China
2College of Science, China University of Petroleum (East China), Qingdao 266580, China
3Department of Applied Mathematics, Changchun Taxation College, Changchun 130117, China

Received 13 July 2012; Revised 10 December 2012; Accepted 24 December 2012

Academic Editor: Dumitru Baleanu

Copyright © 2013 Fuquan Jiang 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 consider the properties of Green’s function for the nonlinear fractional differential equation boundary value problem: , where , is the standard Riemann-Liouville derivative. Here our nonlinearity may be singular at . As applications of Green’s function, we give some multiple positive solutions for singular boundary value problems by means of Schauder fixed-point theorem.