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http://dx.doi.org/10.4134/BKMS.b170887

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.6, 2018 , pp. 1639-1657 More about this Journal
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.
Keywords
Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; boundary value problems; existence and uniqueness; fixed point theory;
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