219 citations · 1.6k across the 35 of their papers we have counts for
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Anisotropic Fractal Media by Vector Calculus in Non-Integer Dimensional Space
Vasily E. Tarasov
A review of different approaches to describe anisotropic fractal media is proposed. In this paper differentiation and integration non-integer dimensional and multi-fractional space…
Vector Calculus in Non-Integer Dimensional Space and its Applications to Fractal Media
Vasily E. Tarasov
We suggest a generalization of vector calculus for the case of non-integer dimensional space. The first and second orders operations such as gradient, divergence, the scalar and ve…
Chains with Fractal Dispersion Law
Vasily E. Tarasov
Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n+a(m) and n-a(m),…
Liouville and Bogoliubov Equations with Fractional Derivatives
Vasily E. Tarasov
The Liouville equation, first Bogoliubov hierarchy and Vlasov equations with derivatives of non-integer order are derived. Liouville equation with fractional derivatives is obtaine…
Thermodynamics of Few-Particle Systems
Vasily E. Tarasov
We consider the wide class of few-particle systems that have some analog of the thermodynamic laws. These systems are characterized by the distributions that are determined by the…
Conservation Laws and Hamilton's Equations for Systems with Long-Range Interaction and Memory
Vasily E. Tarasov, George M. Zaslavsky
Using the fact that extremum of variation of generalized action can lead to the fractional dynamics in the case of systems with long-range interaction and long-term memory function…