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

被引：0

作者：

Lopes, Michele Martins ^{[1
]}

Santo Pedro, Francielle ^{[2
]}

Laiate, Beatriz ^{[1
]}

Esmi, Estevao ^{[1
]}

Barros, Laecio Carvalho ^{[1
]}

机构：

[1] Univ Estadual Campinas, Dept Appl Math, BR-13083970 Campinas, SP, Brazil

[2] Univ Fed Sao Paulo, Multidisciplinary Dept, BR-06110295 Osasco, SP, Brazil

来源：

APPLICATIONS OF FUZZY TECHNIQUES, NAFIPS 2022 | 2023年 / 500卷

基金：

巴西圣保罗研究基金会;

关键词：

DIFFERENTIAL-EQUATIONS; CALCULUS;

D O I：

10.1007/978-3-031-16038-7_13

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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).

引用

页码：113 / 124

页数：12

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