分数阶中立型微分方程的有限时间稳定(英文)  

FINITE TIME STABILITY OF FRACTIONAL ORDER NEUTRAL DIFFERENTIAL EQUATIONS

作　　者：刘可为[1,2] 蒋威[1] 

机构地区：[1]安徽大学数学学院,安徽合肥230039 [2]合肥工业大学数学学院,安徽合肥230009

出　　处：《数学杂志》2014年第1期43-50,共8页Journal of Mathematics

基　　金：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)

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.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 theo- rems and the finite time stability theorem of the fractional order neutral differential equations are obtained, which extends some corresponding results in [8, 9].

关 键 词：存在唯一 有限时间稳定 分数阶中立型 

分 类 号：O175.13[理学—数学]