| 分数阶撖分方程边值问题正解的存在性及唯一性 |
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| 引用本文： | 刘桂敏.分数阶撖分方程边值问题正解的存在性及唯一性[J].应用泛函分析学报,2014(1):46-53. |
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| 作者姓名： | 刘桂敏 |
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| 作者单位： | 曲阜师范大学数学科学学院,曲阜273165 |
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| 摘 要： | 根据非线性项的不同,用两个不动点定理研究一类分数阶微分方程正解的存在性及唯一性,且其解可找到迭代序列逼近.最后列举两个例子说明其结果的应用.
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| 关 键 词： | 分数阶微分方程 不动点定理 正解 存在性及唯一性 |
Existence and Uniqueness of Positive Solutions for Fractional Differential Equation Boundary Value Problems |
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| LIU Guimin.Existence and Uniqueness of Positive Solutions for Fractional Differential Equation Boundary Value Problems[J].Acta Analysis Functionalis Applicata,2014(1):46-53. |
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| Authors: | LIU Guimin |
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| Institution: | LIU Guimin (School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China) |
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| Abstract: | This paper investigates existence and uniqueness of positive solutions for a class of fractional differential equations. According to the different nonlinear terms, we use two fixed point theorems to obtain our result. At last, two examples illustrating our result are given. |
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| Keywords: | fractional differential equation fixed point theorem positive solutions existence anduniqueness |
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