Chenxing Zhou
Abstract:
In this article, we consider the nonlinear fractional order
three-point boundary-value problem
where
is the standard Riemann-Liouville fractional
derivative,
,
. By using a fixed-point
theorem in partially ordered sets, we obtain sufficient conditions
for the existence and uniqueness of positive and nondecreasing
solutions to the above boundary value problem.
Submitted September 19, 2012. Published December 21, 2012.
Math Subject Classifications: 26A33, 34B18, 34B27.
Key Words: Partially ordered sets; fixed-point theorem; positive solution.
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Chenxing Zhou College of Mathematics Changchun Normal University Changchun 130032, Jilin, China |
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