On fuzzy Laplace transform in linearly correlated fuzzy space

被引：2

作者：

Santo Pedro, Francielle ^{[1
]}

Bueno Salgado, Silvio Antonio ^{[2
]}

Sanchez, Daniel Eduardo ^{[3
]}

Esmi, Estevao ^{[4
]}

de Barros, Laecio Carvalho ^{[4
]}

机构：

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

[2] Univ Fed Alfenas, Inst Appl Social Sci, BR-37048395 Varginha, MG, Brazil

[3] Univ Austral Chile, Ctr Basic Sci Teaching Engn, Valdivia St, Valdivia 5110566, Los Rios, Chile

[4] Univ Estadual Campinas, Dept Appl Math, BR-13083859 Campinas, SP, Brazil

来源：

SOFT COMPUTING | 2023年 / 27卷 / 03期

关键词：

Fuzzy improper Riemann integral; Fuzzy Laplace transform; Fuzzy differential equation; Linearly correlated space; VALUED FUNCTIONS; EQUATION;

D O I：

10.1007/s00500-022-07659-8

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this manuscript, we present the notion of improper Riemann integral and develop a methodology to solve nth-order fuzzy initial value problems (FIVPs) via fuzzy Laplace transform for linearly correlated processes. Our approach translates a fuzzy differential equation (FDE) problem from the fuzzy number space to a well-established Banach space. In this new approach, it is not necessary to consider several cases due to switch points, and we do not need to use the Stacking theorem because the obtained solution is always a fuzzy number. In order to illustrate our approach, we present several examples comparing the obtained solutions with those produced by other methods.

引用

页码：1425 / 1438

页数：14

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