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A Note on Caputo Fractional Derivative in the Space of Linearly Correlated Fuzzy Numbers

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Author(s):
Lopes, Michele Martins ; Santo Pedro, Francielle ; Laiate, Beatriz ; Esmi, Estevao ; Barros, Laecio Carvalho ; Dick, S ; Kreinovich, V ; Lingras, P
Total Authors: 8
Document type: Journal article
Source: APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2022; v. 500, p. 12-pg., 2023-01-01.
Abstract

In thispaper, we present a brief study on the fractional derivative of Caputo in the space of linearly correlated fuzzy numbers (R-F(A)), with a non-symmetric fuzzy number A. This space is interesting since it has a Banach space structure. The use of the Caputo derivative gives the advantage of including memory effect in the dynamics of mathematical models, allowing a better description of real phenomena. To illustrate the proposed concepts, we study the curve of cumulative cases of COVID-19 in China through a fractional logistic model in space R-F(A). (AU)

FAPESP's process: 20/09838-0 - BI0S - Brazilian Institute of Data Science
Grantee:João Marcos Travassos Romano
Support Opportunities: Research Grants - Research Centers in Engineering Program