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A new sigmoidal fractional derivative for regularization (2001.01610v5)
Published 3 Jan 2020 in math.GM
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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