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News of the Kabardin-Balkar scientific center of RAS, 2018, Issue 6-1, Pages 42–47 (Mi izkab69)  
COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT

Non-local boundary value problem for a system of equations with partial derivatives of fractional order of the type I

M. O. Mamchuev

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: A non-local boundary value problem in a rectangular domain for a fractional hyperbolic system with constant coefficients was investigated, in case when all of the eigenvalues of the matrix coefficient in the main part are signdetermined. The conditions for the unique solvability of the problem under study are obtained.
Keywords: fractional derivatives, fractional hyperbolic systems, non-local boundary value problem, conditions for unique solvability.
Received: 15.12.2018
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. O. Mamchuev, “Non-local boundary value problem for a system of equations with partial derivatives of fractional order of the type I”, News of the Kabardin-Balkar scientific center of RAS, 2018, no. 6-1, 42–47
Citation in format AMSBIB
\Bibitem{Mam18}
\by M.~O.~Mamchuev
\paper Non-local boundary value problem for a system
of equations with partial derivatives
of fractional order of the type I
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2018
\issue 6-1
\pages 42--47
\mathnet{http://mi.mathnet.ru/izkab69}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=36817591}
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