Fractional generalization of Liouville equations.
In this paper fractional generalization of Liouville equation is considered. We derive fractional analog of normalization condition for distribution function. Fractional generalization of the Liouville equation for dissipative and Hamiltonian systems was derived from the fractional normalization condition. This condition is considered as a normalization condition for systems in fractional phase space. The interpretation of the fractional space is discussed.
Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 119992, Russia. tarasov@theory.sinp.msu.ru
Vasily E
VE
Tarasov
D000465:Algorithms; D004735:Energy Transfer; D017709:Fractals; D015233:Models, Statistical; D017711:Nonlinear Dynamics