| 奇异耦合分数阶微分方程组Dirichlet型边值问题的正解 |
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| 引用本文： | 黄永辉,苑成军,李云晖.奇异耦合分数阶微分方程组Dirichlet型边值问题的正解[J].数学的实践与认识,2012,42(13):228-234. |
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| 作者姓名： | 黄永辉 苑成军 李云晖 |
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| 作者单位： | 哈尔滨学院理学学院数学系,黑龙江哈尔滨,150086 |
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| 基金项目： | 黑龙江省普通高等学校青年学术骨干支持计划项目，黑龙江省自然科学基金项目，黑龙江省教育厅科研技术项目 |
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| 摘 要： | 研究了一非线性奇异非自治耦合半正分数阶微分方程组Dirichlet型边值问题.利用Schauder不动点定理,获得了该非自治耦合分数阶微分方程组Dirichlet型边值问题的正解.
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| 关 键 词： | Dirichlet型边值问题 分数阶耦合方程组 正解 Schauder不动点定理 |
Positive Solutions to Dirichlet-type Boundary Value Problems of Singular Coupled Systems of Fractional Differential Equations |
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| HUANG Yong-hui
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YUAN Cheng-jun
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LI Yun-hui.Positive Solutions to Dirichlet-type Boundary Value Problems of Singular Coupled Systems of Fractional Differential Equations[J].Mathematics in Practice and Theory,2012,42(13):228-234. |
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| Authors: | HUANG Yong-hui YUAN Cheng-jun LI Yun-hui |
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| Institution: | (Department of Mathematics,College of Science,Harbin University,Harbin 150086,China) |
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| Abstract: | The paper study Dirichlet-type boundary value problems of non-autonomous singular coupled systems of positone fractional differential equations.By Schauder’s fixed point theorem,we establish the existence of positive solutions for the non-autonomous singular coupled systems of fractional differential equations. |
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| Keywords: | Dirichlet-type boundary value problem Coupled systems of fractional differential equations Positive solutions Schauder’s fixed point theorem |
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