| 分数阶中立型微分方程的有限时间稳定(英文) |
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| 引用本文： | 刘可为,蒋威. 分数阶中立型微分方程的有限时间稳定(英文)[J]. 数学杂志, 2014, 34(1): 43-50 |
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| 作者姓名： | 刘可为 蒋威 |
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| 作者单位： | 安徽大学数学学院;合肥工业大学数学学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11071001);Doctoral Fund of Ministry of Education of China(20093401110001);Major Program of Educational Commission of Anhui Province of China(KJ2010ZD02);the Fundamental Research Funds for the Central Universities(2012HGXJ0041);the Fundamental Research Funds for the Central Universities(2013HGXJ0226);the Fund of Anhui University Graduate Academic Innovation(10117700004) |
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| 摘 要： | 本文研究了一类分数阶中立型微分方程的有限时间稳定性问题.利用分步法及微分不等式理论,获得了该方程解的存在唯一性及有限时间稳定性结果.推广了文献[8,9]的相关结果.
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| 关 键 词： | 存在唯一 有限时间稳定 分数阶中立型 |
| 收稿时间： | 2012-04-13 |
| 修稿时间： | 2012-11-05 |
FINITE TIME STABILITY OF FRACTIONAL ORDER NEUTRAL DIFFERENTIAL EQUATIONS |
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| LIU Ke-wei and JIANG Wei. FINITE TIME STABILITY OF FRACTIONAL ORDER NEUTRAL DIFFERENTIAL EQUATIONS[J]. Journal of Mathematics, 2014, 34(1): 43-50 |
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| Authors: | LIU Ke-wei and JIANG Wei |
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| Affiliation: | LIU Ke-wei;JIANG Wei;School of Mathematical Science,Anhui University;School of Mathematics Science,Hefei University of Technology; |
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| Abstract: | A class of fractional order neutral differential equations is considered. By using the method of steps and the theory of differential inequalities, the existence and uniqueness theorems and the finite time stability theorem of the fractional order neutral differential equations are obtained, which extends some corresponding results in [8, 9]. |
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| Keywords: | existence and uniqueness finite time stability fractional order neutral |
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