| 非线性反周期分数阶脉冲微分方程边值问题的解 |
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| 引用本文： | 张爱华,胡卫敏.非线性反周期分数阶脉冲微分方程边值问题的解[J].伊犁师范学院学报(自然科学版),2013(4):11-16. |
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| 作者姓名： | 张爱华 胡卫敏 |
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| 作者单位： | 伊犁师范学院数学与统计学院,新疆伊宁835000 |
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| 基金项目： | 新疆维吾尔自治区自然科学基金项目（201318101-14）. |
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| 摘 要： | 通过Schauder不动点定理和Banach压缩映射原理，得到了一类非线性反周期分数阶脉冲微分方程边值问题解的存在性和唯一性。
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| 关 键 词： | 分数阶微分方程 边值问题 脉冲条件 不动点定理 |
Solutions for an Anti-periodic Boundary Value Problem of Nonlinear Impulsive Fractional Differential Equations |
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| ZHANG Ai-hua,HU Wei-min.Solutions for an Anti-periodic Boundary Value Problem of Nonlinear Impulsive Fractional Differential Equations[J].Journal of Ili Normal University,2013(4):11-16. |
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| Authors: | ZHANG Ai-hua HU Wei-min |
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| Institution: | (School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang 835000, China) |
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| Abstract: | In this paper, we investigate existence and uniqueness of solutions for a anti-periodic boundary value problem of nonlinear impulsive fractional differential equations. The arguments are based upon Schauder fixed-point theorems and Banach contraction map principle. |
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| Keywords: | Fractional differential equation boundary value problem impulsive conditions fixed-point theorem |
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