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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2019, Volume 27, Number 2, Pages 6–11
DOI: https://doi.org/10.26117/2079-6641-2019-27-2-6-11 (Mi vkam348) 		 
MATHEMATICS

Dirchlet problem for a nonlocal wave equation with Riemann–Liouville derivative

O. Kh. Masaeva

Institute of Applied Mathematics and Automation, 360000, Kabardino-Balkarian Republic, Nalchik, st. Shortanova, 89a
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DOI: https://doi.org/10.26117/2079-6641-2019-27-2-6-11
Abstract: The existence and uniqueness of the solution to Dirichlet problem for a second-order equation with a fractional derivative is proved. The equation under study is a wave equation for a integer value of the order of the fractional derivative.
Keywords: Dirichlet problem, Riemann–Liouville fractional derivative, Caputo fractional derivative, wave equation.
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35L05
Language: Russian
Citation: O. Kh. Masaeva, “Dirchlet problem for a nonlocal wave equation with Riemann–Liouville derivative”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 27:2 (2019), 6–11
Citation in format AMSBIB
\Bibitem{Mas19}
\by O.~Kh.~Masaeva
\paper Dirchlet problem for a nonlocal wave equation with Riemann--Liouville derivative
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 27
\issue 2
\pages 6--11
\mathnet{http://mi.mathnet.ru/vkam348}
\crossref{https://doi.org/10.26117/2079-6641-2019-27-2-6-11}
\elib{https://elibrary.ru/item.asp?id=38568112}
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