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math.GM2020
A new Laplace-type fractional derivative
Mostafa Rezapour, Adebowale Sijuwade
In this paper, we present a new derivative via the Laplace transform. The Laplace transform leads to a natural form of the fractional derivative which is equivalent to a Riemann-Li…
math.GM2020
A new sigmoidal fractional derivative for regularization
Mostafa Rezapour, Adebowale Sijuwade, Thomas J. Asaki
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 t…