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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 37, Number 4, Pages 30–37
DOI: https://doi.org/10.26117/2079-6641-2021-37-4-30-37 (Mi vkam506) 		 
MATHEMATICS

Steklov problem of the first class for a fractional order delay differential equation

M. G. Mazhgikhova

Institute of Applied Mathematics and Automation of Kabardino-Balkar Scientific Center of RAS
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DOI: https://doi.org/10.26117/2079-6641-2021-37-4-30-37
Abstract: The solution to the Steklov problem with conditions of the first class for a linear delay differential equation with a Gerasimov-Caputo fractional derivative is obtained by Green function method. The existence and uniqueness theorem to the problem is proved.
Keywords: fractional differential equation, delay differential equation, Green function method, generalized Mittag-Leffler function.
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34L99
Language: Russian
Citation: M. G. Mazhgikhova, “Steklov problem of the first class for a fractional order delay differential equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 30–37
Citation in format AMSBIB
\Bibitem{Maz21}
\by M.~G.~Mazhgikhova
\paper Steklov problem of the first class for a fractional order delay differential equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 37
\issue 4
\pages 30--37
\mathnet{http://mi.mathnet.ru/vkam506}
\crossref{https://doi.org/10.26117/2079-6641-2021-37-4-30-37}
\elib{https://elibrary.ru/item.asp?id=47427590}
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