Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 238, pp. 1-15.

Title: Existence and multiplicity of positive solutions for m-point 
       nonlinear fractional differential equations on the half line
        
Authors: Kazem Ghanbari (Sahand Univ. of Technology, Iran)
         Yousef Gholami (Sahand Univ. of Technology, Iran)

Abstract:
 In this article we find sufficient conditions for existence
 and multiplicity of positive solutions for an $m$-point nonlinear
 fractional boundary-value problem on an infinite interval.
 Moreover,  we prove that the set of positive solutions is compact.
 Nonexistence results for the boundary-value problem also are obtained.

Submitted August 3, 2012. Published December 28, 2012.
Math Subject Classifications: 34A08, 34B10, 34B15, 34B18.
Key Words: Fractional derivative; fixed point theorem; positive solution.