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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 2, Pages 125–133 (Mi svmo601)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical modeling and computer science

Simulation of nonstationary random processes kinetic equations with fractional derivatives.

D. A. Zenyuk, L. V. Klochkova, Yu. N. Orlov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
Full-text PDF (401 kB) Citations (3)
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Abstract: In this paper we construct a method of simulation of nonstationary random processes by kinetic equations with fractional derivatives. Paper discusses the kinetic equation of fractional order with respect to the sample quantiles of the distribution function for modeling the evolution of the random variables. A model is proposed to describe the evolution of the pollution of the metropolis, when the source of impurities is random.
Keywords: fractional equation advection-diffusion, Riemann-Liouville derivative, Gerasimov-Caputo derivative, sample quantiles, sample distribution function.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00145_а
13-01-00617_а
Bibliographic databases:
Document Type: Article
UDC: 51.7:532.546
Language: Russian
Citation: D. A. Zenyuk, L. V. Klochkova, Yu. N. Orlov, “Simulation of nonstationary random processes kinetic equations with fractional derivatives.”, Zhurnal SVMO, 18:2 (2016), 125–133
Citation in format AMSBIB
\Bibitem{ZenKloOrl16}
\by D.~A.~Zenyuk, L.~V.~Klochkova, Yu.~N.~Orlov
\paper Simulation of nonstationary random processes kinetic equations with fractional derivatives.
\jour Zhurnal SVMO
\yr 2016
\vol 18
\issue 2
\pages 125--133
\mathnet{http://mi.mathnet.ru/svmo601}
\elib{https://elibrary.ru/item.asp?id=26322699}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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