| 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.[LIU Xiao-gang.Existence of Solutions with Boundary Value Problem of Nonlinear Fractional Differential Equations[J].Journal of University of South China(Science and Technology),2015,29(1):100~103, 114.] |
| 一类分数阶微分方程解的存在性 |
| Existence of Solutions with Boundary Value Problem of Nonlinear Fractional Differential Equations |
| 投稿时间：2014-01-14 |
| DOI： |
| 中文关键词: Riemann-Liouville型分数阶微分 Green函数 Schauder抉择定理 Banach压缩映射原理 |
| 英文关键词:Riemann-Liouville fractional derivative Green function Schauder fixed-point theorem Banach contraction mapping principle |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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