| Texto completo | |
| Autor(es): |
Shahidi, M.
;
Esmi, E.
;
Barros, L. C.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 45, n. 3, p. 29-pg., 2025-12-15. |
| Resumo | |
In this paper, we study fuzzy Volterra integro-dynamic equations with fuzzy kernels under Delta(psi)-differentiability for S-linearly correlated fuzzy processes on time scales. In particular, we propose a fuzzy Adomian decomposition method to solve these equations, demonstrating that it leads to a series that approaches the unique solution of the fuzzy Volterra integro-dynamic equations. Additionally, we investigate the relationships between fuzzy initial value problems for nth-order fuzzy dynamic equations and fuzzy Volterra integral equations, as well as, between fuzzy Volterra integro-dynamic equations and fuzzy initial value problems for S-linearly correlated fuzzy processes on time scales. As a consequence of the developed theory, the fuzzy Adomian decomposition method is applied to solve initial value problems for nth order fuzzy dynamic equations. To demonstrate its effectiveness, an application to fuzzy damped spring-mass systems is presented. Several illustrative examples are provided to demonstrate our results, as well. (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 Aplicada |