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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