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arXiv · 1612.00214

A remark on local fractional calculus and ordinary derivatives

Ricardo Almeida·Malgorzata Guzowska·Tatiana Odzijewicz
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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.

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Ricardo Almeida, Malgorzata Guzowska, Tatiana Odzijewicz. 2016-12-01. A remark on local fractional calculus and ordinary derivatives. https://arxiv.org/abs/1612.00214

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