Vasily Tarasov - Academia.edu (original) (raw)
Related Authors
Kotel’nikov Institute of Radio Engineering and Electronics of Russian Academy of Science
Uploads
Papers by Vasily Tarasov
arXiv preprint nlin/0312044, 2003
In this paper fractional generalization of Liouville equation is considered. We derive fractional... more 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.
arXiv preprint nlin/0602029, 2006
We consider the fractional generalizations of equation that defines the medium mass. We prove tha... more We consider the fractional generalizations of equation that defines the medium mass. We prove that the fractional integrals can be used to describe the media with noninteger mass dimensions. Using fractional integrals, we derive the fractional generalization of the Chapman-Kolmogorov equation ͑Smolukhovski equation͒. In this paper fractional Fokker-Planck equation for fractal media is derived from the fractional Chapman-Kolmogorov equation. Using the Fourier transform, we get the Fokker-Planck-Zaslavsky equations that have fractional coordinate derivatives. The Fokker-Planck equation for the fractal media is an equation with fractional derivatives in the dual space.
arXiv preprint nlin/0312044, 2003
In this paper fractional generalization of Liouville equation is considered. We derive fractional... more 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.
arXiv preprint nlin/0602029, 2006
We consider the fractional generalizations of equation that defines the medium mass. We prove tha... more We consider the fractional generalizations of equation that defines the medium mass. We prove that the fractional integrals can be used to describe the media with noninteger mass dimensions. Using fractional integrals, we derive the fractional generalization of the Chapman-Kolmogorov equation ͑Smolukhovski equation͒. In this paper fractional Fokker-Planck equation for fractal media is derived from the fractional Chapman-Kolmogorov equation. Using the Fourier transform, we get the Fokker-Planck-Zaslavsky equations that have fractional coordinate derivatives. The Fokker-Planck equation for the fractal media is an equation with fractional derivatives in the dual space.