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Some It(o) Formulas with Respect to Mixed Fractional Brownian Motion and Brownian Motion
Authors:SHU Hui-sheng  KAN Xiu  ZHOU Hai-tao
Abstract:Some It(o)formulas with respect to mixed Fractional Brownian motion and Brownian motion were given in this paper.These extended the lt(o)formula for the fractional Wick lt(o)Skorohod integral with respect to Fractional Brownian motion,meanwhile extended the lt(o)formula for It(o)Skorohod integral with respect to Brownian motion.Taylor's formula is applied to prove our conclusion in this article.
Keywords:Fractional Brownian motion  Brownianmotion  It(o) formula
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