Bulletin KRASEC. Phys. & Math. Sci, 2015, V. 10, №. 1, pp. 11-15. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2015-10-1-11-15

MATHEMATICAL MODELING

MSC 37C70

MATHEMATICAL MODELING OF THE LAW OF CLOUD DROPLET CHARGE CHANGE IN FRACTAL ENVIRONMENT

T.S. Kumykov¹, R.I. Parovik²³

¹Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89a, Russian
²Institute of Cosmophysical Researches and RadioWave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
³Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

E-mail: macist20@mail.ru, romanparovik@gmail.com.

The paper proposes a new mathematical model of cloud droplet charge change 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.

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

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Original article submitted: 17.05.2015


Tem

 

   Kumykov Tembulat Sarabievich – Ph.D. (Phys. & Math.), Senior Research of Dep. Mathematical Modeling of Geophysical Processes, Institute of Applied Mathematics and Automation, Kabardino-Balkaria, Nalchik.

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Par

    Parovik Roman Ivanovich – Ph.D. (Phys. & Math.), Dean of the Faculty of Physics and Mathematics Vitus Bering Kamchatka State University, Senior Researcher of Lab. Modeling of Physical Processes, Institute of Cosmophysical Researches and Radio Wave Propagation FEB RAS.

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