Fractional systems and fractional Bogoliubov hierarchy equations.
We consider the fractional generalizations of the phase volume, volume element, and Poisson brackets. These generalizations lead us to the fractional analog of the phase space. We consider systems on this fractional phase space and fractional analogs of the Hamilton equations. The fractional generalization of the average value is suggested. The fractional analogs of the Bogoliubov hierarchy equations are derived from the fractional Liouville equation. We define the fractional reduced distribution functions. The fractional analogs of the Vlasov equation and the Debye radius are considered.
Tarasov
Vasily E
VE
Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow 119992, Russia. tarasov@theory.sinp.msu.ru