Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 850871, 10 pages
http://dx.doi.org/10.1155/2012/850871
Research Article

Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations

Wen-Xue Zhou,1,2 Ji-Gen Peng,1 and Yan-Dong Chu2

1Department of Mathematics, Xi'an Jiaotong University, Shaanxi, Xi'an 710049, China
2Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China

Received 22 September 2011; Accepted 13 December 2011

Academic Editor: Chuanxi Qian

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 present some new multiplicity of positive solutions results for nonlinear semipositone fractional boundary value problem D0+αu(t)=p(t)f(t,u(t))-q(t),0<t<1,u(0)=u(1)=u'(1)=0, where 2<α≤3 is a real number and D0+α is the standard Riemann-Liouville differentiation. One example is also given to illustrate the main result.