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NONLOCAL BOUNDARY VALUE PROBLEMS FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS

  • Asawasamrit, Suphawat (Nonlinear Dynamic Analysis Research Center Department of Mathematics Faculty of Applied Science King Mongkut's University of Technology) ;
  • Kijjathanakorn, Atthapol (Nonlinear Dynamic Analysis Research Center Department of Mathematics Faculty of Applied Science King Mongkut's University of Technology) ;
  • Ntouyas, Sotiris K. (Department of Mathematics University of Ioannina) ;
  • Tariboon, Jessada (Nonlinear Dynamic Analysis Research Center Department of Mathematics Faculty of Applied Science King Mongkut's University of Technology)
  • Received : 2017.10.12
  • Accepted : 2018.09.28
  • Published : 2018.11.30

Abstract

In this paper, we initiate the study of boundary value problems involving Hilfer fractional derivatives. Several new existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating our results are also presented.

Acknowledgement

Supported by : King Mongkut's University of Technology North Bangkok

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