219 citations · 757 across the 17 of their papers we have counts for
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Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
Vasily E. Tarasov
Fractional generalization of an exterior derivative for calculus of variations is defined. The Hamilton and Lagrange approaches are considered. Fractional Hamilton and Euler-Lagran…
Transport Equations from Liouville Equations for Fractional Systems
Vasily E. Tarasov
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…
Fractional Liouville and BBGKI Equations
Vasily E. Tarasov
We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case.The interpretati…
Possible Experimental Test of Continuous Medium Model for Fractal Media
Vasily E. Tarasov
We use the fractional integrals to describe fractal media. We consider the fractal media as special ("fractional") continuous media. We discuss the possible experimental testing of…
Stationary Solutions of Liouville Equations for Non-Hamiltonian Systems
Vasily E. Tarasov
We consider the class of non-Hamiltonian and dissipative statistical systems with distributions that are determined by the Hamiltonian. The distributions are derived analytically a…
Fractional Hydrodynamic Equations for Fractal Media
Vasily E. Tarasov
We use the fractional integrals in order to describe dynamical processes in the fractal media. We consider the "fractional" continuous medium model for the fractal media and derive…