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News of the Kabardin-Balkar scientific center of RAS, 2016, Issue 2, Pages 15–20 (Mi izkab179)  
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Neumann problem for ordinary differential equation of fractional order with delay argument

M. G. Mazhgikhova

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а
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Abstract: The solution of the Neumann problem for differential equation of fractional order with delay argument has been studied. Green's function of this is constructed. The theorem of existence and uniqueness of solution of the problem is proved. A condition for unique solvability has been found.
Keywords: Neumann problem, differential equation of fractional order, differential equation with delay, the Green's function.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462-a
This work was financially supported by the Russian Foundation for Basic Research (project No. 06-01-00462-a).
Received: 18.02.2016
Document Type: Article
UDC: 517.91
Language: Russian
Citation: M. G. Mazhgikhova, “Neumann problem for ordinary differential equation of fractional order with delay argument”, News of the Kabardin-Balkar scientific center of RAS, 2016, no. 2, 15–20
Citation in format AMSBIB
\Bibitem{Maz16}
\by M.~G.~Mazhgikhova
\paper Neumann problem for ordinary differential equation of fractional order with delay argument
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2016
\issue 2
\pages 15--20
\mathnet{http://mi.mathnet.ru/izkab179}
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  • https://www.mathnet.ru/eng/izkab/y2016/i2/p15
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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