Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (1): 235-258.doi: 10.1016/S0252-9602(16)30128-X

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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)

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

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