Shuqin Zhang
Abstract:
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 email: zhangshuqin@tsinghua.org.cn |
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