Fractional Generalization of Liouville Equations

Details Fractional Generalization of Liouville Equations Fractional Generalization of Liouville Equations

2003-12-19

arxiv.org/abs/nlin/0312044v1

Chaos 14 (2004) 123-127

Nonlinear Sciences

Chaotic Dynamics

9 pages, LaTeX

Scientific paper

10.1063/1.1633491

In this paper fractional generalization of Liouville equation is considered. We derive fractional analog of normalization condition for distribution function. Fractional generalization of the Liouvile equation for dissipative and Hamiltonian systems was derived from the fractional normalization condition. This condition is considered considered as a normalization condition for systems in fractional phase space. The interpretation of the fractional space is discussed.

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