| 一类分数阶微分方程边值问题解的存在唯一性 |
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| 引用本文： | 张胜利,郭秀兰,王森源,苏璟. 一类分数阶微分方程边值问题解的存在唯一性[J]. 河南科学, 2014, 0(3): 321-324 |
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| 作者姓名： | 张胜利 郭秀兰 王森源 苏璟 |
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| 作者单位： | 河南工业大学理学院,郑州450001 |
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| 基金项目： | 河南省自然科学基金（122300410130）;河南工业大学科学研究基金项目（2012YJCX63） |
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| 摘 要： | 研究一类Caputo型分数阶微分方程边值问题,运用Banach压缩映射原理和广义Lipschitz条件,通过计算Green函数,得到其解存在唯一性.
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| 关 键 词： | Banach压缩映射原理 分数阶微分方程边值问题 解存在唯一性 |
Existence and Uniqueness of Solutions for Boundary Value Problem of Fractional Differential Equation |
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| Zhang Shengli,Guo Xiulan,Wang Senyuan,Su. Existence and Uniqueness of Solutions for Boundary Value Problem of Fractional Differential Equation[J]. Henan Science, 2014, 0(3): 321-324 |
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| Authors: | Zhang Shengli Guo Xiulan Wang Senyuan Su |
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| Affiliation: | Jing (College of Science, Henan University of Technolo, Zhengzhou 450001, China) |
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| Abstract: | In this paper, the boundary value problem of fractional differential equation of Caputo is investigated. With the help of the Banach contraction mapping theory and generalized Lipschitz condition, the existence and uniqueness of positive solutions are obtained by calculating paternity Green function. |
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| Keywords: | the Banach contraction mapping theory the boundary value problem of fractional differentialequation： existence and uniqueness of solutions |
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