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Stochastic differential equations represent equipment in modeling of a dynamic systems operating with fuzzy settings driven by stochastic noise. In this manuscript, a new kind of equation, namely fuzzy fractional… Click to show full abstract
Stochastic differential equations represent equipment in modeling of a dynamic systems operating with fuzzy settings driven by stochastic noise. In this manuscript, a new kind of equation, namely fuzzy fractional stochastic differential system (FSDS) is proposed. It is defined by stochastic integral of a fuzzy process with respect to the m -dimensional Brownian motion. In this paper, the existence and uniqueness results are obtained for impulsive fuzzy FSDS with granular derivative using contraction principle. Finally, we provide a numerical example for the effectiveness of the theoretical results.
Journal Title: Computational and Applied Mathematics
Year Published: 2020
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