Liouville and Bogoliubov equations with fractional derivativesстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The Liouville equation, rst Bogoliubov hierarchy and Vlasov equations with derivatives
of non-integer order are derived. Liouville equation with fractional derivatives is obtained
from the conservation of probability in a fractional volume element. This equation is used
to obtain Bogoliubov hierarchy and fractional kinetic equations with fractional deriva-
tives. Statistical mechanics of fractional generalization of the Hamiltonian systems is
discussed. Fractional kinetic equation for the system of charged particles are considered.