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arXiv · 1502.06182

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

Chun-Yang Wang·Shu-Qin Lv·Ming Yi
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Abstract

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

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Chun-Yang Wang, Shu-Qin Lv, Ming Yi. 2015-02-22. Fractional Non-Markovian effect and Newton's 2nd law of motion. https://arxiv.org/abs/1502.06182

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