Fuzzy fractional differential equations with interactive derivative

被引：2

作者：

Santo Pedro, Francielle ^{[1
]}

Lopes, Michele Martins ^{[3
]}

Wasques, Vinicius Francisco ^{[2
]}

Esmi, Estevao ^{[3
]}

de Barros, Laecio Carvalho ^{[3
]}

机构：

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

[2] Brazilian Ctr Res Energy & Mat, Ilum Sch Sci, BR-13087548 Campinas, SP, Brazil

[3] Univ Estadual Campinas, Dept Appl Math, BR-13081970 Campinas, SP, Brazil

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 467卷

关键词：

F -correlated fuzzy process; Fuzzy interactive derivative; F -correlated fractional integral and derivative; Fuzzy fractional initial value; problem; ADDITIONS;

D O I：

10.1016/j.fss.2023.02.009

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this manuscript we present the concept of fuzzy fractional differential equation considering the fuzzy relationship of interactivity. We develop the theory of integral equation and fractional differentiability from the point of view of interactivity, that is, the fuzzy Caputo fractional derivative is given by fuzzy interactive derivative. We propose the fractional initial value problem via the interactive fuzzy Caputo fractional derivative and we comment on the usefulness of the interactive fuzzy derivative in the fractional context, since there are two fuzzy processes involved. Finally, we apply the results in two models of population dynamics, namely the Malthusian model and the Verhulst model, where analytical and numerical solutions are presented.& COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：22

共 8 条

[1] Fuzzy differential equations with interactive derivative
de Barros, Laecio Carvalho
Pedro, Francielle Santo
FUZZY SETS AND SYSTEMS, 2017, 309 : 64 - 80
[2] Controlling the Width of the Sum of Interactive Fuzzy Numbers with Applications to Fuzzy Initial Value Problems
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Esmi, Estevao
Barros, Laecio C.
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[3] The interactive fuzzy semigroup (RIC,+1/2) and its algebraic structure properties
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[8] Optimal controls for forward-backward stochastic differential equations: Time-inconsistency and time-consistent solutions
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JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2024, 190

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