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, Number 1(10),Pages <nobr>12

This article is cited in 5 papers

MATHEMATICAL MODELING

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

T. S. Kumykov^a, R. I. Parovik^bc

^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.

UDC: 517.958 [550.3 + 551.5]

MSC: 37C70

Received: 17.05.2015

DOI: 10.18454/2079-6641-2015-10-1-12-17