数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (1): 235-258.doi: 10.1016/S0252-9602(16)30128-X

• 论文 • 上一篇    下一篇

EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

马和平, 刘斌   

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2015-09-07 修回日期:2015-11-20 出版日期:2017-02-25 发布日期:2017-02-25
  • 通讯作者: Biu LIU,E-mail:binliu@mail.hust.edu.cn E-mail:binliu@mail.hust.edu.cn
  • 作者简介:Heping MA,E-mail:mhp1129@hust.edu.cn;
  • 基金资助:

    This work was partially supported by NNSF of China (11571126)

EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

Heping MA, Biu LIU   

  1. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2015-09-07 Revised:2015-11-20 Online:2017-02-25 Published:2017-02-25
  • Contact: Biu LIU,E-mail:binliu@mail.hust.edu.cn E-mail:binliu@mail.hust.edu.cn
  • About author:Heping MA,E-mail:mhp1129@hust.edu.cn;
  • Supported by:

    This work was partially supported by NNSF of China (11571126)

摘要:

In the present paper, with the help of the resolvent operator and some analytic methods, the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with state-dependent delay. As an application, we also give one example to demonstrate our results.

关键词: controllability, continuous dependence, fractional neutral integro-differential equations, state-dependent delay, resolvent operator

Abstract:

In the present paper, with the help of the resolvent operator and some analytic methods, the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with state-dependent delay. As an application, we also give one example to demonstrate our results.

Key words: controllability, continuous dependence, fractional neutral integro-differential equations, state-dependent delay, resolvent operator