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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, Number 4(24), Pages 54–60 (Mi vkam308)  

MATHEMATICS

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

E. M. Shogenova

Institute of Applied Mathematics and Automation KBSC RAS, 360000, Nalchik, Shortanova st., 89a, Russia

Abstract: In this paper, the method of energy inequalities obtained a priori estimates of the first and third boundary value problems for the convection-diffusion equation of fractional order, from which follows the uniqueness and continuous dependence of the solution of the problems posed on the input data.

Keywords: convection-diffusion equation, boundary-value problem, a priori estimate.

DOI: https://doi.org/10.18454/2079-6641-2018-24-4-54-60

Full text: PDF file (236 kB)
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UDC: 519.633
MSC: 97M50
Received: 16.08.2018

Citation: E. M. Shogenova, “A priori estimates of the solution boundary value problems for the convection-diffusion equation of fractional order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 4(24), 54–60

Citation in format AMSBIB
\Bibitem{Sho18}
\by E.~M.~Shogenova
\paper A priori estimates of the solution boundary value problems for the convection-diffusion equation of fractional order
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 4(24)
\pages 54--60
\mathnet{http://mi.mathnet.ru/vkam308}
\crossref{https://doi.org/10.18454/2079-6641-2018-24-4-54-60}
\elib{http://elibrary.ru/item.asp?id=36707472}


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