Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 146, pp. 1-9.

Title: Existence of positive solutions for singular fractional
       differential equations

Authors: Tingting Qiu (Shandong Univ., Qingdao, China)
         Zhanbing Bai (Shandong Univ., Qingdao, China)

Abstract:
 In this article, we establish the existence of a positive
 solution to a singular boundary-value problem of nonlinear
 fractional differential equation. Our analysis rely on nonlinear
 alternative of Leray-Schauder type and Krasnoselskii's fixed point
 theorem in a cone.
  
Submitted April 4, 2008. Published October 24, 2008.
Math Subject Classifications: 34B15.
Key Words: Boundary value problem; positive solution; 
           singular fractional differential equation; fixed-point theorem.