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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2018, Number 3(23), Pages 91–97
DOI: https://doi.org/10.18454/2079-6641-2018-23-3-91-97 (Mi vkam259) 		 
FRACTIONAL CALCULUS AND ITS APPLICATION

Darboux problem for fractional telegraph equation

R. A. Pshibikhova

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, Russia
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DOI: https://doi.org/10.18454/2079-6641-2018-23-3-91-97
Abstract: In this paper we prove a theorem of existence and uniqueness of solutions of the Darboux problem for the generalized telegraph equation of fractional order with Riemann-Liouville derivatives.
Keywords: Darboux problem, fractional telegraph equation, fractional derivative,  Riemann-Liouville 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: 517.91
MSC: 35R11
Language: Russian
Citation: R. A. Pshibikhova, “Darboux problem for fractional telegraph equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 91–97
Citation in format AMSBIB
\Bibitem{Psh18}
\by R.~A.~Pshibikhova
\paper Darboux problem for fractional telegraph equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 3(23)
\pages 91--97
\mathnet{http://mi.mathnet.ru/vkam259}
\crossref{https://doi.org/10.18454/2079-6641-2018-23-3-91-97}
\elib{https://elibrary.ru/item.asp?id=35604474}
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