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- Title
On fuzzy Laplace transform in linearly correlated fuzzy space.
- Authors
Pedro, Francielle Santo; Salgado, Silvio Antônio Bueno; Sánchez, Daniel Eduardo; Esmi, Estevão; de Barros, Laécio Carvalho
- Abstract
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.
- Subjects
INITIAL value problems; RIEMANN integral; DIFFERENTIAL equations; BANACH spaces; FUZZY numbers
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2023, Vol 27, Issue 3, p1425
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-022-07659-8