3 papers
math.OC2020
Neural-trust-region algorithm for unconstrained optimization (Part 1)
Mostafa Rezapour, Thomas Asaki
In this paper (part 1), we describe a derivative-free trust-region method for solving unconstrained optimization problems. We will discuss a method when we relax the model order as…
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…