대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권6호
  • /
  • Pages.1639-1657
  • /
  • 2018
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 투고 : 2017.10.12
  • 심사 : 2018.09.28
  • 발행 : 2018.11.30
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초록

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.

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참고문헌

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