| 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].井冈山大学自然版,2012,(2):14-18,44 |
| 一类分数阶微分方程三点边值问题正解的存在性 |
| EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT BOUNDARY VALUE PROBLEM |
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| DOI： |
| 中文关键词: 分数阶微分方程 三点边值问题 锥不动点指数 正解 存在性 |
| 英文关键词: fractional differential equations three-point boundary value problems cone＇s fixed point index positive solution existence |
| 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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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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