Bull. Korean Math. Soc. 2018; 55(6): 1639-1657
Online first article November 7, 2018 Printed November 30, 2018
https://doi.org/10.4134/BKMS.b170887
Copyright © The Korean Mathematical Society.
Suphawat Asawasamrit, Atthapol Kijjathanakorn, Sotiris K. Ntouyas, Jessada Tariboon
King Mongkut's University of Technology, King Mongkut's University of Technology, King Abdulaziz University, King Mongkut's University of Technology
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
MSC numbers: 26A33, 34A08, 34B15
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