| 半线性分数阶脉冲微分方程解的存在性和唯一性 |
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| 引用本文： | 李祥,王旭焕.半线性分数阶脉冲微分方程解的存在性和唯一性[J].云南师范大学学报(自然科学版),2014(1):48-53. |
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| 作者姓名： | 李祥 王旭焕 |
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| 作者单位： | [1]保山学院数学学院,云南保山678000 [2]萍乡学院教育科学系,江西萍乡337055 |
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| 基金项目： | 云南省应用基础研究基金资助项目（2013FD054）;保山学院科研教研基金资助项目（13BZ010）. |
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| 摘 要： | 利用Altman's不动点定理和Krasnoselskii不动点定理证明了q∈(0,1]阶半线性微分方程的脉冲边值问题的解的存在性和唯一性.
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| 关 键 词： | 分数阶微分方程 脉冲 半线性 不动点 |
Existence and Uniqueness of Solutions to Semilinear Impulsive Fractional Differential Equations |
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| LI Xiang;WANG Xu-huan.Existence and Uniqueness of Solutions to Semilinear Impulsive Fractional Differential Equations[J].Journal of Yunnan Normal University (Natural Sciences Edition),2014(1):48-53. |
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| Authors: | LI Xiang;WANG Xu-huan |
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| Institution: | LI Xiang;WANG Xu-huan(Department of Mathematics,Baoshan College,Baoshan 678000,China;Department of Educational Sciences, Pingxiang College, Pingxiang 337055, China) |
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| Abstract: | In this paper,we consider the existence and uniqueness of solutions for impulsive boundary value problem of semilinear differential equations of fractional order q ∈ （0,1].Our results are based on Altman＇s fixed point theorem and Krasnoselskii＇s fixed point theorem. |
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| Keywords: | Fraction differential equations Impulsive Semilinear Fixed point |
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