%0 Journal Article
%T On the existence of nonnegative solutions of nonlocal boundary value problems for a class of fractional differential equations
%A Azizollah Babakhani
%J Journal of Nonlinear Analysis and Application
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jnaa-00164
%X This article studies the existence of nonnegative solutions for a boundary value problem (BVP) of nonlinear fractional differential equations. Some new existence results are obtained by applying Kranoselskii`s fixed-point theorem in a cone. First we prove the existence of solutions of an auxiliary BVP formulated by truncating the response function. Then the Arzela-Ascoli theorem is used to take $C^1$ limits of sequences of such solutions. As an application, we give an examples that illustrate our results.
%K Caputo fractional derivative
%K Riemann-Liouville fractional integral
%K Banach space
%K completely continuous operator
%K equicontinuous set.
%U http://www.ispacs.com/journals/jnaa/2012/jnaa-00164/article.pdf