| 一类非线性分数阶泛函微分方程的正解的存在性 |
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| 引用本文： | 蒋和平,蒋威.一类非线性分数阶泛函微分方程的正解的存在性[J].数学杂志,2011,31(3):440-446. |
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| 作者姓名： | 蒋和平 蒋威 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | the National Nature Science Foundation of China，the Key Program of Ministry of Education of China，the Program of Innovation Team of University of Anhui，the Research Foundation of Huangshan University，the Foundation of Education Department of Anhui Province |
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| 摘 要： | 本文研究了一类非线性分数阶泛函微分方程.利用锥拉伸与锥压缩不动点定理,得到这类分数阶泛函微分方程的正解的存在性,推广了马如云的结果.
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| 关 键 词： | 正解 非线性分数阶泛函微分方程 锥拉伸与锥压缩不动点定理 |
THE EXISTENCE OF A POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| JIANG He-ping,JIANG Wei.THE EXISTENCE OF A POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2011,31(3):440-446. |
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| Authors: | JIANG He-ping JIANG Wei |
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| Institution: | JIANG He-ping,JIANG Wei(School of Mathematical Science,Anhui University,Hefei 230039,China) |
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| Abstract: | In this article, we consider a class of nonlinear fractional order functional differential equations with delay. By using Krasnoselskll's fixed point theorem in a cone, we obtain a sufficient condition for the existence of a positive solution for nonlinear fractinonal functional differential equations, which generalizes the results of Ma Ruyun. |
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| Keywords: | positive solutions nonlinear fractional functional differential equations Krasnoselskll's fixed point theorem |
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