Haitao Li, Xiangshan Kong, Changtian Yu
Abstract:
This article concerns the existence of three non-negative solutions for
two kinds of three-point boundary-value problems of nonlinear fractional
differential equations, where the fractional derivative is taken in the
Riemann-Liouville sense.
Using Leggett-Williams fixed point theorem, we present some existence
criteria and then illustrate our results with examples.
Submitted February 14, 2012. Published June 4, 2012.
Math Subject Classifications: 34B10, 34A08
Key Words: Non-negative solutions; Riemann-Liouville fractional derivative;
three-point boundary-value problems;
Leggett-Williams fixed point theorem.
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Haitao Li School of Control Science and Engineering Shandong University, Jinan 250061, China email: haitaoli09@gmail.com |
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Xiangshan Kong Basic Science Department, Qingdao Binhai University Qingdao 266555, China email: kong_xiangshan@126.com |
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Changtian Yu Department of Mathematics, Shandong Normal University Jinan 250014, China email: yuchangtian1986@163.com |
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