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分数阶脉冲半线性微分系统的近似可控性(英文)

Approximate Controllability of Impulsive Fractional Semilinear Differential Systems
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摘要 本文使用Krasnoselskii's不动点定理、半群理论及分数阶系统理论研究一类分数阶脉冲半线性科学系统的近似可控性,获得该类系统近似可控的充分条件. In this paper we study the approximate controllability for semilinear fractional impulsive differential systems. By using Krasnoselskii's fixed point theorem, semigroup theory and fractional power theory,sufficient conditions for approximate controllability of impulsive fractional semilinear differential systems are established.
作者 张素平 蒋威
出处 《应用数学》 CSCD 北大核心 2015年第2期431-438,共8页 Mathematica Applicata
基金 Supported by the National Nature Science Foundation of China(11371027) the National Nature Science Foundation of China,Tian Yuan(11326115) the Research Project for Academic Innovation(yfc100002) the Research Fund for the Doctoral Program of Higher Education of China(20133401120013) the Program of Natural Science of Colleges of Anhui Province(KJ2013A032)
关键词 近似可控性 脉冲分数阶微分系统 不动点定理 Approximate eontrollability Impulsive fractional differential system Fixed point theorem
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  • 1Zhijun Zeng.Existence and multiplicity of positive periodic solutions for a class of higher-dimension functional differential equations with impulses[J].Computers and Mathematics with Applications.2009(10)
  • 2Na Zhang,Binxiang Dai,Xiangzheng Qian.Periodic solutions for a class of higher-dimension functional differential equations with impulses[J].Nonlinear Analysis.2006(3)
  • 3姚志健.几类具有无穷时滞泛函微分方程正周期解的存在性[J].生物数学学报,2011,26(1):73-80. 被引量:4

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