A carregar...
Publicação
How Many Fractional Derivatives Are There?
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 786.47 KB | Adobe PDF |
Orientador(es)
Resumo(s)
In this paper, we introduce a unified fractional derivative, 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 some myths of Fractional Calculus and false fractional derivatives. The results are expected to contribute to limit the appearance of derivatives that differ from existing ones just because they are defined on distinct domains, and to prevent the ambiguous use of the concept of fractional derivative.
Descrição
Funding: This work was partially funded by National Funds through the FCT-Foundation for Science and Technology within the scope of the CTS Research Unit—Center of Technology and Systems/UNINOVA/FC /NOVA, under the reference UIDB/00066/2020, and also by FCT through IDMEC, under LAETA, project UID/EMS/50022/2020.
Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Palavras-chave
fractional calculus fractional derivative signals and systems General Mathematics