Copyright © 2013 Wenquan Wu and Xiangbing Zhou. 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 investigate the existence of positive solutions for the fractional order eigenvalue problem with -Laplacian operator , where are the standard Riemann-Liouville derivatives and -Laplacian operator is defined as is continuous and can be singular at and By constructing upper and lower solutions, the existence of positive solutions for the eigenvalue problem of fractional differential equation is established.