  We study several important fine properties for the family of fractional
Brownian motions with Hurst parameter $H$ under the $(p,r)$-capacity on
classical Wiener space introduced by Malliavin. We regard fractional Brownian
motions as Wiener functionals via the integral representation discovered by
Decreusefond and \"{U}st\"{u}nel, and show non differentiability, modulus of
continuity, law of iterated Logarithm(LIL) and self-avoiding properties of
fractional Brownian motion sample paths using Malliavin calculus as well as the
tools developed in the previous work by Fukushima, Takeda and etc. for Brownian
motion case.
