| 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. |
| 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 |
| DOI： |
| 分类号:O175.14 |
| 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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| THE EXISTENCE OF A POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS |
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JIANG He-ping,JIANG Wei
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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. |
| Key words: positive solutions nonlinear fractional functional differential equations Krasnoselskll's fixed point theorem |
