| Full text | |
| Author(s): |
Shahidi, M.
;
Esmi, E.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | COMPUTATIONAL & APPLIED MATHEMATICS; v. 41, n. 8, p. 16-pg., 2022-12-01. |
| Abstract | |
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) | |
| FAPESP's process: | 22/00196-1 - Fuzzy differential equations with interactive derivatives on time scales |
| Grantee: | Mina Shahidi |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 20/09838-0 - BI0S - Brazilian Institute of Data Science |
| Grantee: | João Marcos Travassos Romano |
| Support Opportunities: | Research Grants - Research Centers in Engineering Program |