Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (5): 1282-1294.

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Approximate Controllability of Hilfer Fractional Integro-Differential Equations Using Sequence Method

Jingyun Lv,Xiaoyuan Yang*()   

  1. School of Mathematical Sciences and LMIB, Beihang University, Beijing 100191
  • Received:2018-10-24 Online:2020-10-26 Published:2020-11-04
  • Contact: Xiaoyuan Yang E-mail:bhxyyang@126.com
  • Supported by:
    the NSFC(61671002)

Abstract:

Existing works on approximate controllability of fractional differential equations often assume that the nonlinear item is uniformly bounded and the corresponding fractional linear system is approximate controllable, which is, however, too constrained. In this paper, we omit these two assumptions and investigate the approximate controllability of Hilfer fractional integro-differential equations using sequence method.

Key words: Approximate controllability, Hilfer fractional derivative, Fractional integro-differ-ential equations

CLC Number: 

  • O175.15
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