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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2013, Number 2(7), Pages 7–11
DOI: https://doi.org/10.18454/2079-6641-2013-7-2-7-11 (Mi vkam56) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Numerical solution of a linear system with a fractional power

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 Kamchatka state university by Vitus Bering, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
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DOI: https://doi.org/10.18454/2079-6641-2013-7-2-7-11
Abstract: We investigate numerical solutions of linear ordinary and partial differential equations. Cauchy's problem for ordinary equations of first and second order are generalized with fractional power of finite operator. Condition of regularization for the difference operator analogue of a fractional power is represented.
Keywords: fractional calculus, numerical method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Received: 05.11.2013
Bibliographic databases:
Document Type: Article
UDC: 519.622+519.633
MSC: 65L12
Language: Russian
Citation: I. A. Ilyin, D. S. Noshchenko, A. S. Perezhogin, “Numerical solution of a linear system with a fractional power”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2013, no. 2(7), 7–11
Citation in format AMSBIB
\Bibitem{IlyNosPer13}
\by I.~A.~Ilyin, D.~S.~Noshchenko, A.~S.~Perezhogin
\paper Numerical solution of a linear system with a fractional power
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2013
\issue 2(7)
\pages 7--11
\mathnet{http://mi.mathnet.ru/vkam56}
\crossref{https://doi.org/10.18454/2079-6641-2013-7-2-7-11}
\elib{https://elibrary.ru/item.asp?id=21022811}
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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