| Tempered分数阶微分方程解的全局存在性和稳定性 |
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| 引用本文： | 张玉瑶,钟文勇.Tempered分数阶微分方程解的全局存在性和稳定性[J].吉首大学学报(自然科学版),2020,41(2):5-8,22. |
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| 作者姓名： | 张玉瑶 钟文勇 |
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| 作者单位： | （吉首大学数学与统计学院，湖南 吉首 416000） |
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| 摘 要： | 首先建立了关于tempered 分数阶导数的比较原理和不等式，然后利用凸Lyapunov函数建立了含Caputo型tempered分数阶导数的微分方程初值问题解的全局存在性和稳定性的判断准则.
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| 关 键 词： | Caputo型分数阶微分方程 tempered分数阶微分方程 全局存在性 稳定性 凸Lyapunov函数 |
Global Existence and Stability of Solutions of Tempered Fractional Differential Equations |
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| ZHANG Yuyao,ZHONG Wenyong.Global Existence and Stability of Solutions of Tempered Fractional Differential Equations[J].Journal of Jishou University(Natural Science Edition),2020,41(2):5-8,22. |
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| Authors: | ZHANG Yuyao ZHONG Wenyong |
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| Institution: | （College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan China） |
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| Abstract: | Firstly, the comparison principle and inequality about the tempered fractional derivative are established, then the convex Lyapunov function is used to establish the criteria for the global existence and stability of the initial value problem of Caputo tempered fractional derivative. |
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| Keywords: | Caputo tempered fractional derivative tempered fractional differential equations global existence stability convex Lyapunov functions |
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