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Title: A remark on local fractional calculus and ordinary derivatives
Author: Almeida, Ricardo
Guzowska, Małgorzata
Odzijewicz, Tatiana
Keywords: Local fractional derivative
Conformable derivative
Issue Date: Dec-2016
Publisher: De Gruyter Open
Abstract: In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.
Peer review: yes
DOI: 10.1515/math-2016-0104
ISSN: 2391-5455
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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