A remark on local fractional calculus and ordinary derivatives
Classical Analysis and ODEs
2016-12-02 v1
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
Cite
@article{arxiv.1612.00214,
title = {A remark on local fractional calculus and ordinary derivatives},
author = {Ricardo Almeida and Malgorzata Guzowska and Tatiana Odzijewicz},
journal= {arXiv preprint arXiv:1612.00214},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form is published in 'Open Mathematics'