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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2017, Number 1(17), Pages 44–53
DOI: https://doi.org/10.18454/2079-6641-2017-17-1-44-53 (Mi vkam191) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICAL MODELING

The Riccati equation with variable heredity

D. A. Tvyordyj

Kamchatka State University named after Vitus Bering
Full-text PDF (416 kB) Citations (2)
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DOI: https://doi.org/10.18454/2079-6641-2017-17-1-44-53
Abstract: We consider the Riccati differential equation with a fractional derivative of variable order. The introduction of a derivative of a fractional variable order into the initial equation determines the property of the medium - the memory effect or the heredity, which consists in the dependence of the current state of the dynamic system on its previous states.
Keywords: Riccati equation, fractional derivative, hereditarity, numerical methods, differential equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation AAAA-A17-117031050058-9
Received: 22.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 34A08
Language: Russian
Citation: D. A. Tvyordyj, “The Riccati equation with variable heredity”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 1(17), 44–53
Citation in format AMSBIB
\Bibitem{Tvy17}
\by D.~A.~Tvyordyj
\paper The Riccati equation with variable heredity
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2017
\issue 1(17)
\pages 44--53
\mathnet{http://mi.mathnet.ru/vkam191}
\crossref{https://doi.org/10.18454/2079-6641-2017-17-1-44-53}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3657106}
\elib{https://elibrary.ru/item.asp?id=29094398}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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