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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019, Volume 29, Number 4, Pages 35–40 (Mi vkam367)  

MATHEMATICS

A priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time aputo derivative

A. M. Shkhagapsoev

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

Abstract: A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a fractional Caputo derivative in time is obtained by the method of energy inequalities.

Keywords: a priori estimation, nonlocal boundary value problem, equation with multiple characteristics, method of energy integrals, Caputo fractional derivative.

DOI: https://doi.org/10.26117/2079-6641-2019-29-4-35-40

Full text: PDF file (269 kB)
Full text: http://krasec.ru/shkhag2019/
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UDC: 517.954
MSC: 35M13

Citation: A. M. Shkhagapsoev, “A priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time aputo derivative”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 29:4 (2019), 35–40

Citation in format AMSBIB
\Bibitem{Shk19}
\by A.~M.~Shkhagapsoev
\paper A priori estimation of a generalized nonlocal boundary value problem for a thrid order equation with a fractional time aputo derivative
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 29
\issue 4
\pages 35--40
\mathnet{http://mi.mathnet.ru/vkam367}
\crossref{https://doi.org/10.26117/2079-6641-2019-29-4-35-40}


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