NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2012, 3 (6), P. 47–63
THE STOCHASTIC FOUNDATION OF THE NANOPARTICLE KINETIC DESCRIPTION BY DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES
A.M. Basharov – PhD, Senior Researcher of NRC “Kurchatov Institute”, Center of Fundamental Research; associate professor of Moscow Institute of Physics and Technology, Department of Nanotechnologies and Informatics, Subdepartment of Mathematics and Mathematical Methods of Physics, basharov@gmail.com
The paper has been aimed at reviewing the basic concepts of fractional analysis, and typical general kinetic cases of localized open systems giving rise to applying the equations with fractional derivatives.
Keywords: open systems, transport processes and relaxation, subordinated processes and Levy processes, stochastic differential equations.
UDC 517.938, 519.21, 536.12
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