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分数阶中立型微分方程的有限时间稳定
刘可为,蒋威
作者单位
刘可为 安徽大学数学学院, 安徽 合肥 230039;合肥工业大学数学学院, 安徽 合肥 230009 
蒋威 安徽大学数学学院, 安徽 合肥 230039 
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.
关键词:  存在唯一  有限时间稳定  分数阶中立型
DOI:
分类号:O175.13
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).
FINITE TIME STABILITY OF FRACTIONAL ORDER NEUTRAL DIFFERENTIAL EQUATIONS
LIU Ke-wei,JIANG Wei
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].
Key words:  existence and uniqueness  finite time stability  fractional order neutral