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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015, Number 1(10), Pages 12–17 (Mi vkam16)  

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL MODELING

Mathematical modeling of changes in the charge cloud droplets in a fractal environment

T. S. Kumykova, R. I. Parovikbc

a Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89a, Russia
b nstitute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
c Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: The paper proposed a new mathematical model of the variation of the charge cloud drops in storm clouds. The model takes into account the fractal properties of storm clouds, and the solution was obtained using the apparatus of fractional calculus.

Keywords: fractal dimension, the mathematical model, operator Riemann-Liouville, operator Caputo.

DOI: https://doi.org/10.18454/2079-6641-2015-10-1-12-17

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Full text: http://www.ikir.ru/.../article0006.html
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English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2015, 10:1, 11–15 (PDF, 148 kB); https://doi.org/10.18454/2313-0156-2015-10-1-11-15

UDC: 517.958 [550.3 + 551.5]
MSC: 37C70
Received: 17.05.2015

Citation: T. S. Kumykov, R. I. Parovik, “Mathematical modeling of changes in the charge cloud droplets in a fractal environment”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015, no. 1(10), 12–17; Bulletin KRASEC. Phys. & Math. Sci., 10:1 (2015), 11–15

Citation in format AMSBIB
\Bibitem{KumPar15}
\by T.~S.~Kumykov, R.~I.~Parovik
\paper Mathematical modeling of changes in the charge cloud droplets in a fractal environment
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2015
\issue 1(10)
\pages 12--17
\mathnet{http://mi.mathnet.ru/vkam16}
\crossref{https://doi.org/10.18454/2079-6641-2015-10-1-12-17}
\elib{http://elibrary.ru/item.asp?id=23564562}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2015
\vol 10
\issue 1
\pages 11--15
\crossref{https://doi.org/10.18454/2313-0156-2015-10-1-11-15}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. T. S. Kumykov, “Matematicheskoe modelirovanie formirovaniya raznosti potentsialov pri kristallizatsii oblachnykh kapel s uchetom fraktalnosti sredy”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 10:3 (2017), 16–24  mathnet  crossref  elib
    2. T. S. Kumykov, “The cloud droplets evolution in view of the impact of fractal environment: mathematical modeling”, Vestnik KRAUNTs. Fiz.-mat. nauki, 2018, no. 4(24), 97–108  mathnet  crossref  elib
  • Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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