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arxiv: 1103.0615 · v1 · pith:7DBIH3GTnew · submitted 2011-03-03 · 🧮 math.PR

Stochastic differential equation involving Wiener process and fractional Brownian motion with Hurst index H> 1/2

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keywords brownianequationmotiondifferentialfractionalstochasticassumptionscoefficients
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We consider a mixed stochastic differential equation driven by possibly dependent fractional Brownian motion and Brownian motion. Under mild regularity assumptions on the coefficients, it is proved that the equation has a unique solution.

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