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News of the Kabardin-Balkar scientific center of RAS, 2017, Issue 6-1, Pages 60–66 (Mi izkab176)  
This article is cited in 1 scientific paper (total in 1 paper)

MATH MODELING. PHYSICS

A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation

E. M. Shogenova

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 by the method of energy inequalities a priori estimates for the solution of the Dirichlet and Robin boundary value problems for the convection-diffusion equation of fractional order are obtained. From this follows the uniqueness and continuous dependence of the solution of the problems posed on the initial data.
Keywords: Caputo fractional derivative, Riemann-Liouville fractional integral, fractional convection-diffusion equation, boundary value problems, a priori estimate.
Received: 12.10.2017
Document Type: Article
UDC: 519.633
Language: Russian
Citation: E. M. Shogenova, “A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation”, News of the Kabardin-Balkar scientific center of RAS, 2017, no. 6-1, 60–66
Citation in format AMSBIB
\Bibitem{Kaz17}
\by E.~M.~Shogenova
\paper A priori estimates for solutions of boundary value problems for convection-diffusion fractional-order equation
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2017
\issue 6-1
\pages 60--66
\mathnet{http://mi.mathnet.ru/izkab176}
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