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We report in this paper a thorough study on the the dynamical mechanics ofthe fractional Brownian motion systems. Where several non-trivial propertiesare revealed such as the abundant non-Markovian effects resulted from thefractional characters of the system. In general, the dynamics of the fBm systemis found to be of a purely Newton's type, despite of the anomalous fractionalproperties of the system.

Fractional Non-Markovian effect and Newton's 2nd law of motion