Fractional generalization of Liouville equations
- 16 December 2003
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 14 (1) , 123-127
- https://doi.org/10.1063/1.1633491
Abstract
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.Comment: 9 pages, LaTeKeywords
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