How Many Fractional Derivatives Are There?

In this paper, we introduce a <i>unified fractional derivative</i>, defined by two parameters (order and asymmetry). From this, all the interesting derivatives can be obtained. We study the one-sided derivatives and show that most known derivatives are particular cases. We consider also...

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Bibliographic Details
Main Authors: Duarte Valério, Manuel D. Ortigueira, António M. Lopes
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/5/737