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A sigmoidal fractional derivative for regularization
oleh: Mostafa Rezapour, Adebowale Sijuwade, Thomas Asaki
Format: | Article |
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Diterbitkan: | AIMS Press 2020-04-01 |
Deskripsi
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.