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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this short note, we show that
it is more natural to look the fractional Brownian motion as
functionals of the standard white noises , and the fractional
white noise calculus developed in Ref. [1] follows directly from
the classical white noise functional calculus. As examples we
prove that the fractional Girsanov formula, the It\^{o} type
integrals and the fractional Black-Scholes formula are easy
consequences of their classical counterparts. An extension to the
fractional Brownian sheet is also shortly discussed.
Keywords:Fractional Brownian motion; Fractional white