In this paper, we consider the existence and multiplicity of positive solutions for the nonlinear fractional differential equation boundary-value problem
where is a real number, and is the Caputo's fractional derivative, and is continuous. By means of a fixed-point theorem on cones, some existence and multiplicity results of positive solutions are obtained.
Submitted November 30, 2005. Published March 21, 2006.
Math Subject Classifications: 34B15.
Key Words: Caputo's fractional derivative; fractional differential equation; boundary-value problem; positive solution; fractional Green's function; fixed-point theorem
An addendum as attached on November 9, 2009. It corrects the definition of n in Lemmas 2.2 and 2.3. See the last page of this article.
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| Shuqin Zhang |
Department of Mathematics
University of Mining and Technology
Beijing, 100083 China
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