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On random fuzzy differential equations. (English) Zbl 1184.34011

Summary: 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.

MSC:

34A07 Fuzzy ordinary differential equations
34F05 Ordinary differential equations and systems with randomness
34G20 Nonlinear differential equations in abstract spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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