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News of the Kabardin-Balkar scientific center of RAS, 2017, Issue 6-1, Pages 49–53 (Mi izkab174)  
MATH MODELING. PHYSICS

On a non-local problem for the fractional telegraph equation

R. A. Pshibikhova

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A
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Abstract: In this paper we consider a nonlocal problem for a fractional telegraph equation with Caputo derivatives. A solution of the problem with an integral condition for the equation is constructed in terms of the Wright-type function. The existence and uniqueness theorem of the problem is proved.
Keywords: Nonlocal problem, Caputo derivative, fractional telegraph equation, integral condition.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462
This work was financially supported by the Russian Foundation for Basic Research (project No. 16-01-00462-a)
Received: 30.10.2017
Document Type: Article
UDC: 517.95
Language: Russian
Citation: R. A. Pshibikhova, “On a non-local problem for the fractional telegraph equation”, News of the Kabardin-Balkar scientific center of RAS, 2017, no. 6-1, 49–53
Citation in format AMSBIB
\Bibitem{Psh17}
\by R.~A.~Pshibikhova
\paper On a non-local problem for the fractional
telegraph equation
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2017
\issue 6-1
\pages 49--53
\mathnet{http://mi.mathnet.ru/izkab174}
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