The following approaches of fuzzy differential equations are depicted in this chapter: via Hukuhara and strongly generalized derivatives, Zadeh’s extension of the classical (or crisp) solution, fuzzy differential inclusions and extension of the derivative operator. Theorems assuring existence of solutions to fuzzy initial value problems are provided to all theories. Comparisons are carried out and conditions assure equivalence of results under different approaches.
CITATION STYLE
Gomes, L. T., de Barros, L. C., & Bede, B. (2015). Fuzzy differential equations. In SpringerBriefs in Mathematics (pp. 69–113). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-319-22575-3_4
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