| 一类分数阶微分方程解的存在性 |
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| 引用本文： | 刘小刚.一类分数阶微分方程解的存在性[J].南华大学学报(自然科学版),2015,29(1):100-103, 114. |
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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 |
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| 摘 要： | 研究一类分数阶微分方程的边值问题.首先给出了格林函数及其简单性质,其次运用Schauder抉择定理和Banach压缩映射原理给出该问题存在唯一解的充分条件,最后推广已有的某些结果.
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| 关 键 词： | Riemann-Liouville型分数阶微分 Green函数 Schauder抉择定理 Banach压缩映射原理 |
| 收稿时间： | 2014/1/14 0:00:00 |
Existence of Solutions with Boundary Value Problem of Nonlinear Fractional Differential Equations |
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| LIU Xiao-gang.Existence of Solutions with Boundary Value Problem of Nonlinear Fractional Differential Equations[J].Journal of Nanhua University:Science and Technology,2015,29(1):100-103, 114. |
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| Authors: | LIU Xiao-gang |
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| Institution: | LIU Xiao-gang;Modern College,Northwest University; |
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| Abstract: | In this paper,we study the existence of a nonlinear Fractional Differentional Equations with boundary value problem.The study starts with Green''s function and its properties.Applying the Schauder fixed-fixed theorem and the contraction mapping principle,some new results are obtained in the paper. |
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| Keywords: | Riemann-Liouville fractional derivative Green function Schauder fixed-point theorem Banach contraction mapping principle |
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