A new sigmoidal fractional derivative for regularization
General Mathematics
2020-03-18 v5
Abstract
In this paper, we propose a new fractional derivative, which is based on a Caputo-type derivative with a smooth kernel. We show that the proposed fractional derivative reduces to the classical derivative and has a smoothing effect which is compatible with regularization. Moreover, it satisfies some classical properties.
Cite
@article{arxiv.2001.01610,
title = {A new sigmoidal fractional derivative for regularization},
author = {Mostafa Rezapour and Adebowale Sijuwade and Thomas J. Asaki},
journal= {arXiv preprint arXiv:2001.01610},
year = {2020}
}