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http://hdl.handle.net/10773/16623
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 |
URI: | http://hdl.handle.net/10773/16623 |
DOI: | 10.1515/math-2016-0104 |
ISSN: | 2391-5455 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[2016] A remark on local fractional calculus and ordinary derivatives.pdf | Main article | 161.69 kB | Adobe PDF | View/Open |
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