Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 50, pp. 1-7.

Title: Positive solutions to a nonlinear fractional Dirichlet problem 
       on the half-line

Authors: Habib Maagli  (King Abdulaziz Univ., Rabigh, Saudi Arabia)
         Abdelwaheb Dhifli (Faculte des Sciences de Tunis, Tunisia)

Abstract:
 This concerns the existence of infinitely many positive solutions to the
 fractional differential equation
 $$\displaylines{
 D^{\alpha }u(x)+f(x,u,D^{\alpha -1}u)=0, \quad x>0,\cr
 \lim_{x\to 0^{+}}u(x)=0,
 }$$
 where $\alpha \in (1,2]$ and f is a Borel measurable function in
 $\mathbb{R}^{+}\times \mathbb{R}^{+}\times \mathbb{R}^{+}$
 satisfying some appropriate conditions.

Submitted November 28, 2013. Published February 19, 2014.
Math Subject Classifications: 34A08.
Key Words: Fractional differential equation; Dirichlet problem; 
           positive solution; Schauder fixed point theorem.