| 一类分数阶微分方程积分三点边值问题的正解 |
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| 引用本文： | 汤小松,刘清. 一类分数阶微分方程积分三点边值问题的正解[J]. 井冈山大学学报(自然科学版), 2013, 0(1): 11-16 |
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| 作者姓名： | 汤小松 刘清 |
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| 作者单位： | 井冈山大学数理学院;井冈山大学电子与信息工程学院 |
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| 基金项目： | 江西省自然科学青年基金项目(20114BAB211015) |
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| 摘 要： | 研究了一类非线性分数阶微分方程的积分三点边值问题。利用Krasnoselskii不动点理论,获得了该问题至少存在一个正解的两个充分条件。这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 积分三点边值问题 Krasnoselskii不动点理论 正解 存在性 |
EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT INTEGRAL BOUNDARY VALUE PROBLEM |
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| TANG Xiao-song,LIU Qing. EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT INTEGRAL BOUNDARY VALUE PROBLEM[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2013, 0(1): 11-16 |
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| Authors: | TANG Xiao-song LIU Qing |
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| Affiliation: | 1.School of Mathematics and Physics,Jinggangshan University,Ji’an,Jiangxi 343009,China; 2.School of Electronics and Information Engineering,Jinggangshan University,Ji’an,Jiangxi 343009,China) |
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| Abstract: | We study the three-point integral boundary value problems for nonlinear fractional differential equations.Based on the Krasnoselskii fixed-point theory,we obtain two sufficient conditions for the existence of at least one positive solution for this problem.These results extend the corresponding ones of ordinary differential equations of integer order. |
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| Keywords: | fractional differential equations three-point integral boundary value problems Krasnoselskii fixed-point theory positive solution existence |
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