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On the existence and uniqueness of fuzzy differential equations with monotone condition. (English) Zbl 1491.34006

Summary: This paper seeks to investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu’s process. To this end, we provide andprove a novel existence and uniqueness theorem for fuzzy differential equations under Local Lipschitz and monotone conditions. This result allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Liu’s process. To illustrate the main advantage of the approach some examples are finally given.

MSC:

34A07 Fuzzy ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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References:

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