Fuzzy differential equations
β Scribed by Osmo Kaleva
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 616 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0165-0114
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π SIMILAR VOLUMES
In this paper we show the existence and uniqueness of fuzzy solutions of the equation du(t)=dt = f(t; u(t)); u(0) = u0 β E n , using the properties of Hasegawa's functionals and successive approximation.
We give a definition of solutions of ordinary differential equations in n containing parameters which are described by changing in time fuzzy sets. They are defined as fuzzy subsets of the space of absolutely continuous functions. We introduce a hypograph metric in the space of fuzzy sets and prove
The study of fuzzy differential equations is initiated and some typical results are given in order to understand the intricacies involved in incorporating fuzziness in the terms of differential equations.