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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2012, Number 2(5), Pages 62–68
DOI: https://doi.org/10.18454/2079-6641-2012-5-2-62-68 (Mi vkam75) 		 
This article is cited in 1 scientific paper (total in 1 paper)

INFORMATION AND COMPUTATION TECHNOLOGIES

Computation of differential equation with fractional matrix

I. A. Ilyinab, D. S. Noshchenkob, A. S. Perezhoginab

a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Vitus Bering Kamchatka State University, 683032, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
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DOI: https://doi.org/10.18454/2079-6641-2012-5-2-62-68
Abstract: Fractional power computation of matrix is represented. Numerical calculations for ordinary differential equation and its fraction analog is done. Results are compared with Grunvald - Letnikov operator.
Keywords: computation, fractional differential calculus, Grunvald - Letnikov operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Received: 07.12.2012
Bibliographic databases:
Document Type: Article
UDC: 517.3
MSC: 34A08
Language: Russian
Citation: I. A. Ilyin, D. S. Noshchenko, A. S. Perezhogin, “Computation of differential equation with fractional matrix”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2012, no. 2(5), 62–68
Citation in format AMSBIB
\Bibitem{IlyNosPer12}
\by I.~A.~Ilyin, D.~S.~Noshchenko, A.~S.~Perezhogin
\paper Computation of differential equation with fractional matrix
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2012
\issue 2(5)
\pages 62--68
\mathnet{http://mi.mathnet.ru/vkam75}
\crossref{https://doi.org/10.18454/2079-6641-2012-5-2-62-68}
\elib{https://elibrary.ru/item.asp?id=18248148}
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