| 分数阶微分方程反周期边值问题的几种解法 |
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| 引用本文： | 徐娜.分数阶微分方程反周期边值问题的几种解法[J].常熟理工学院学报,2012,26(2):23-27. |
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| 作者姓名： | 徐娜 |
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| 作者单位： | 中国矿业大学理学院数学系,江苏徐州,221116 |
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| 摘 要： | 分别利用Leray-Schauder度理论、Banach压缩映射原理、不动点理论证明了Caputo分数阶微分方程反周期边值问题在右端函数连续有界、满足Lipschitz条件及线性增长的条件下的解的存在性,并给出具体例子予以说明.
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| 关 键 词： | 分数阶微分方程 Leray-Schauder度 压缩映射 不动点定理 |
Some Methods for Solving Anti-periodic Boundary Value Problem of Fractional Differential Equations |
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| XU Na.Some Methods for Solving Anti-periodic Boundary Value Problem of Fractional Differential Equations[J].Journal of Changshu Institute of Technology,2012,26(2):23-27. |
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| Authors: | XU Na |
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| Institution: | XU Na(Department of Mathematics,College of Science, China University of Mining and Technology, Xuzhou 221116, China) |
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| Abstract: | This paper obtains the solutions to anti-periodic boundary value problem of Caputo fractional differential equations by three methods under different conditions. They are Leray-Schauder degree theorem when the system is continuous and bounded, Banach contraction mapping principle when the right function satisfies Lipschitz condition, fixed point theorem under linear growth. Moreover, the author of this paper provides some examples for explanation |
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| Keywords: | fractional differential equation Leray-Schauder Degree contraction mapping fixed point theorem |
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