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arXiv · 1912.12810

A new Laplace-type fractional derivative

Mostafa Rezapour·Adebowale Sijuwade
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Abstract

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-Liouville derivative with fixed terminal point. We first consider a representation which interacts well with periodic functions, examine some rudimentary properties and propose a generalization. The interest for this new approach arose from recent developments in fractional differential equations involving Caputo-type derivatives and applications in regularization problems.

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Mostafa Rezapour, Adebowale Sijuwade. 2019-12-30. A new Laplace-type fractional derivative. https://arxiv.org/abs/1912.12810

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