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On the existence of approximate solutions to fuzzy delay differential equations under the metric derivative

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Autor(es):
Shahidi, M. ; Esmi, E.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: COMPUTATIONAL & APPLIED MATHEMATICS; v. 41, n. 8, p. 16-pg., 2022-12-01.
Resumo

In this paper, we use a metric derivative which is based on the Hausdorff distance between fuzzy numbers. Using this concept of differentiability, we study fuzzy delay differential equations and also prove a result which guarantees the existence of the approximate solutions. The proof of this result is constructive and provides a method to obtain approximate solutions based on fuzzy arithmetic. In order to illustrate the applicability of the presented results, we provide an example with Hutchinson equation and other with a two-dimensional system. (AU)

Processo FAPESP: 22/00196-1 - Equações diferenciais fuzzy com derivadas interativas em escalas temporais
Beneficiário:Mina Shahidi
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 20/09838-0 - BI0S - Brazilian Institute of Data Science
Beneficiário:João Marcos Travassos Romano
Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia