%0 Journal Article
%T Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Torres, F. J.
%D 2013
%\ 05/15/2013
%V 39
%N 2
%P 307-323
%! Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
%K Caputo derivative
%K cone
%K fixed point theorem
%K Fractional differential equation
%K positive solutions
%R
%X This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.
%U http://bims.iranjournals.ir/article_415_bcc9076ae61d66e52701f70a718d0c42.pdf