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Title: A conformable fractional calculus on arbitrary time scales
Author: Benkhettou, Nadia
Hassani, Salima
Torres, Delfim F.M.
Keywords: Calculus on time scales
Conformable operators
Fractional calculus
Issue Date: Jan-2016
Publisher: Elsevier
Abstract: A conformable time-scale fractional calculus of order α. ∈]0, 1] is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing α. =. 1. © 2015 The Authors.
Peer review: yes
DOI: 10.1016/j.jksus.2015.05.003
ISSN: 1018-3647
Appears in Collections:CIDMA - Artigos

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