The Cauchy problem for complex fuzzy differential equations
| Autor: | Abraham Kandel, Daria Karpenko, Robert A. Van Gorder |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Cauchy problem
Logic Mathematical analysis Fuzzy set Cauchy–Riemann equations Fuzzy subalgebra symbols.namesake Artificial Intelligence ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Fuzzy mathematics symbols Applied mathematics Fuzzy number Cauchy's integral theorem Membership function Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 245:18-29 |
| ISSN: | 0165-0114 |
| Popis: | We discuss the existence of a solution to the Cauchy problem for fuzzy differential equations that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definitions of complex fuzzy sets and discuss entailed results which parallel those of regular fuzzy numbers. We then give two existence results relevant to the Cauchy problem for fuzzy differential equations in the case of bounded integral operators. These results require either Holder continuous or Lipschitz continuous response functions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect