Fractional derivatives as weighted average of historical values: an application to COVID-19 in Brazil

Fractional derivatives as weighted average of historical values: an application to COVID-19 in Brazil

The memory effect is an interesting tool that can be seen in fractional differential equations. To show this clearly, in this paper we prove that the Caputo derivative of a function 𝑓, as well as the Riemann-Liouville integral and derivative, are proportional to a weighted average of the historical...

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Bibliographic Details
Main Authors: Michele Martins Lopes, Francielle Santo Pedro, José Paulo Carvalho dos Santos, Daniel Sánchez Ibá´ñez, Estevão Esmi, Laécio Carvalho de Barros
Format: Article
Language:Portuguese
Published: UNESP 2022-09-01
Series:CQD Revista Eletrônica Paulista de Matemática
Subjects:
Memory effect
Caputo derivative
Riemann-Liouville derivative
Statistical expectation
COVID-19.
Online Access:https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/389

Internet

https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/389

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