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On random fuzzy differential equations |
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| Authors: | Marek T. Malinowski |
| Affiliation: | aFaculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516 Zielona Góra, Poland |
| Abstract: | We consider a Cauchy problem in a random fuzzy setting. Under the condition of Lipschitzean right-hand side the existence and uniqueness of the solution is proven, also the continuous dependence on the right-hand side and initial condition is shown. Some kind of boundedness of the solution is established. |
| Keywords: | Random fuzzy differential equations Cauchy problem for fuzzy mappings Fuzzy stochastic process Fuzzy random variables Fuzzy set |
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