A remark on local fractional calculus and ordinary derivatives
Open Access
- 1 January 2016
- journal article
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 14 (1), 1122-1124
- https://doi.org/10.1515/math-2016-0104
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.Keywords
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