A new sigmoidal fractional derivative for regularization

Mostafa Rezapour; Adebowale Sijuwade; Thomas J. Asaki

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arXiv · 2001.01610

A new sigmoidal fractional derivative for regularization

Mostafa Rezapour·Adebowale Sijuwade·Thomas J. Asaki

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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 $\ell_{1}$ regularization. Moreover, it satisfies some classical properties.

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Mostafa Rezapour, Adebowale Sijuwade, Thomas J. Asaki. 2020-01-03. A new sigmoidal fractional derivative for regularization. https://arxiv.org/abs/2001.01610

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