Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 70, pp. 1-8.

Title: Uniqueness of positive solutions for a fractional differential equation
       via a fixed point theorem of a sum operator

Authors: Chen Yang    (Shanxi Univ., Taiyuan, China)
         Chengbo Zhai (Shanxi Univ., Taiyuan, China)

Abstract:
 In this work, we study the existence and uniqueness of positive
 solutions for nonlinear fractional differential equation
 boundary-value problems. Our analysis relies on a fixed point
 theorem of a sum operator. Our results guarantee  the existence
 of a  unique  positive solution, and can be applied for constructing
 an iterative scheme for obtaining the solution.

Submitted January 27, 2012. Published May 07, 2012.
Math Subject Classifications: 34B18.
Key Words: Riemann-Liouville fractional derivative; positive solution;
           fractional differential equation; existence and uniqueness; 
	   fixed point theorem.