2005/01/01 by Vasily E. Tarasov · 2 citations
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #cond-mat.stat-mech #math-ph #math.MP #nlin.CD #physics.class-ph
paper · pdf · doi:10.1088/1742-6596/7/1/002
published as Journal of Physics: Conference Series 7 (2005) 17-33 · 20 pages
openalex publication_date 2005/01/01 · arxiv created 2006/02/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case. The interpretation of fractional analog of phase space as a space with fractal dimension and as a space with fractional measure are discussed. The fractional analogs of the Hamiltonian systems are considered as a special class of non-Hamiltonian systems. The fractional generalization of the reduced distribution functions are suggested. The fractional analogs of the BBGKI equations are derived from the fractional Liouville equation.