Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 88, pp. 1-12.

Title: Existence of three non-negative solutions for a three-point
       boundary-value problem of nonlinear fractional differential equations

Authors: Haitao Li (Shandong Univ., Jinan 250061, China)
         Xiangshan Kong (Qingdao Binhai Univ., China)
	 Changtian Yu (Shandong Normal Univ., China)

Abstract:
 This article concerns the existence of three non-negative solutions for
 two kinds of three-point boundary-value problems of nonlinear fractional
 differential equations, where the fractional derivative is taken in the
 Riemann-Liouville sense.
 Using Leggett-Williams fixed point theorem, we  present some existence 
 criteria and then illustrate our results with examples.


Submitted February 14, 2012. Published June 04, 2012.
Math Subject Classifications: 34B10, 34A08
Key Words: Non-negative solutions; Riemann-Liouville fractional derivative;
           three-point boundary-value problems;
           Leggett-Williams fixed point theorem.