TRANSPORT EQUATIONS FROM LIOUVILLE EQUATIONS FOR FRACTIONAL SYSTEMS
2006 ◽
Vol 20
(03)
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pp. 341-353
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Keyword(s):
We consider dynamical systems that are described by fractional power of coordinates and momenta. The fractional powers can be considered as a convenient way to describe systems in the fractional dimension space. For the usual space the fractional systems are non-Hamiltonian. Generalized transport equation is derived from Liouville and Bogoliubov equations for fractional systems. Fractional generalization of average values and reduced distribution functions are defined. Gasdynamic equations for fractional systems are derived from the generalized transport equation.
2007 ◽
Vol 21
(06)
◽
pp. 955-967
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1973 ◽
Vol 58
(11)
◽
pp. 5120-5124
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Keyword(s):
1983 ◽
Vol 57
(1)
◽
pp. 1007-1014
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1978 ◽
Vol 90
(3-4)
◽
pp. 587-596
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1983 ◽
Vol 52
(3)
◽
pp. 247-252
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1968 ◽
Vol 48
(3)
◽
pp. 1023-1032
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1998 ◽
Vol 108
(2)
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pp. 706-714
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