| 带有三点边值问题的分数阶微分方程解的存在唯一性 |
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| 引用本文： | 刘小刚.带有三点边值问题的分数阶微分方程解的存在唯一性[J].西安文理学院学报,2014(1):13-16. |
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| 作者姓名： | 刘小刚 |
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| 作者单位： | 西北大学现代学院,西安710130 |
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| 摘 要： | 运用Leray-Schauder抉择定理和Banach压缩映射原理研究了分数阶微分方程三点边值问题解的存在唯一性,给出该问题存在唯一解的充分条件,推广已有的某些结果.
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| 关 键 词： | 分数阶微分方程 Riemann-Liouville型分数阶微分 边值问题 Leray-Schauder抉择定理 Banach压缩映射原理 |
On the Existence and Uniqueness of Solutions with Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations |
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| LIU Xiao-gang.On the Existence and Uniqueness of Solutions with Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equations[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2014(1):13-16. |
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| Authors: | LIU Xiao-gang |
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| Institution: | LIU Xiao-gang (Modem College, Northwest University, Xi＇ an 710130,China) |
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| Abstract: | By using the Banach contraction mapping principle and the Schauder fixed - point theorem, we discuss the existence and uniqueness of solutions with three - point boundary value problem of nonlinear Fractional Differentional Equations. Sufficient conditions of the solution are given. |
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| Keywords: | Fractional Differential Equations Riemannboundary value problem Schauder fixed - point theorem pieLiouville fractional derivative Banach contraction mapping princi- |
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