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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2018, Number 3(23), Pages 42–47
DOI: https://doi.org/10.18454/2079-6641-2018-23-3-42-47 (Mi vkam253) 		 
FRACTIONAL CALCULUS AND ITS APPLICATION

To the question of solvability of ordinary differential equations of fractional order

F.T. Bogatyreva

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, Russia
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DOI: https://doi.org/10.18454/2079-6641-2018-23-3-42-47
URL: https://krasec.ru/bog-2018323
Abstract: We discussed the problem of solvability of initial value problem for one model ordinary differential equation of fractional order. It is shown that the dimension of the kernel depends on the distribution parameters of Dzhrbashyan-Nersesyan operators and also can be trivial
Keywords: ordinary differential equations, Cauchy problem, fractional derivative, Dzhrbashyan-Nersesyan operator.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462-А
This work was financially supported by the Russian Foundation for Basic Research (project No. 16-01-00462-A).
Received: 08.06.2018
Bibliographic databases:
Document Type: Article
UDC: 517.925.4
MSC: 34L99
Language: Russian
Citation: F.T. Bogatyreva, “To the question of solvability of ordinary differential equations of fractional order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 42–47
Citation in format AMSBIB
\Bibitem{Bog18}
\by F.T.~Bogatyreva
\paper To the question of solvability of ordinary differential equations of fractional order
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 3(23)
\pages 42--47
\mathnet{http://mi.mathnet.ru/vkam253}
\crossref{https://doi.org/10.18454/2079-6641-2018-23-3-42-47}
\elib{https://elibrary.ru/item.asp?id=35604468}
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