On fuzzy Laplace transform in linearly correlated fuzzy space

被引：0
作者：
Francielle Santo Pedro
Silvio Antônio Bueno Salgado
Daniel Eduardo Sánchez
Estevão Esmi
Laécio Carvalho de Barros
机构：
[1] Federal University of São Paulo,Multidisciplinary Department
[2] Federal University of Alfenas,Institute of Applied Social Sciences
[3] University Austral of Chile,Center of Basic Science Teaching for Engineering
[4] University of Campinas,Department of Applied Mathematics
来源：
Soft Computing | 2023年 / 27卷
关键词：
Fuzzy improper Riemann integral; Fuzzy Laplace transform; Fuzzy differential equation; Linearly correlated space;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1425 / 1438
页数：13
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