| 一类分数阶微分方程三点边值问题正解的存在性 |
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| 引用本文： | 汤小松. 一类分数阶微分方程三点边值问题正解的存在性[J]. 井冈山大学学报(自然科学版), 2012, 0(2): 14-18,44 |
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| 作者姓名： | 汤小松 |
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| 作者单位： | 井冈山大学数理学院,江西吉安343009 |
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| 基金项目： | 安徽省教育厅自然科学基金（KJ2010B138）; 井冈山大学2009年科研课题项目 |
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| 摘 要： | 利用锥不动点指数理论,研究一类非线性分数阶微分方程的三点边值问题,获得至少存在一个正解的充分条件。由此推广了整数阶微分方程的相应结果。
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| 关 键 词： | 分数阶微分方程 三点边值问题 锥不动点指数 正解 存在性 |
EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT BOUNDARY VALUE PROBLEM |
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| TANG Xiao-song. EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT BOUNDARY VALUE PROBLEM[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2012, 0(2): 14-18,44 |
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| Authors: | TANG Xiao-song |
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| Affiliation: | TANG Xiao-song (School of Mathematics and Physics, Jinggangshan Universtiy, ji＇an, Jiangxi 343009, China) |
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| Abstract: | We study the three-point boundary value problems for nonlinear fractional differential equations by the fixed-point index theory in cone. Furthermore, we obtain the sufficient condition for the existence of at least one positive solution for this problem, which promotes the corresponding ones of ordinary differential equations of integer order. |
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| Keywords: | fractional differential equations three-point boundary value problems cone＇s fixed point index positive solution existence |
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