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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2018, Number 4(24), Pages 50–53
DOI: https://doi.org/10.18454/2079-6641-2018-24-4-50-53 (Mi vkam307) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Uniqueness of a solution to the Dirichlet problem for a multidimensional fractional partial differential equation

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/10.18454/2079-6641-2018-24-4-50-53
Abstract: The uniqueness theorem for the solution of the Dirichlet problem for a multidimensional partial differential equation of fractional order in an unbounded domain is proved. The equation under study is an equation of the second order elliptic type when the orders of fractional derivatives are integer.
Keywords: Dirichlet problem in unbounded domain, Riemann–Liouville fractional derivative, Caputo fractional derivative, multidimensional elliptic equation.
Received: 11.07.2018
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35L05
Language: Russian
Citation: O. Kh. Masaeva, “Uniqueness of a solution to the Dirichlet problem for a multidimensional fractional partial differential equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 4(24), 50–53
Citation in format AMSBIB
\Bibitem{Mas18}
\by O.~Kh.~Masaeva
\paper Uniqueness of a solution to the Dirichlet problem for a multidimensional fractional partial differential equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 4(24)
\pages 50--53
\mathnet{http://mi.mathnet.ru/vkam307}
\crossref{https://doi.org/10.18454/2079-6641-2018-24-4-50-53}
\elib{https://elibrary.ru/item.asp?id=36707471}
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