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News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 2024, Volume 26, Issue 1, Pages 69–77
DOI: https://doi.org/10.35330/1991-6639-2024-26-1-69-77 (Mi izkab757) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics and Mechanics

Boundary value problem for loaded parabolic equations of fractional order

M. M. Karmokov, F. M. Nakhusheva, M. H. Abregov

Kabardino-Balkarian State University named after Kh.M. Berbekov, 360004, Russia, Nalchik, 173 Chernyshevsky street
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DOI: https://doi.org/10.35330/1991-6639-2024-26-1-69-77
Abstract: The article considers the second boundary value problem for a loaded parabolic equation with a fractional Riemann – Liouville integro-differentiation operator. The unambiguous solvability of the second boundary value problem is proved. Using the Green function method with the theory of the potential of a simple layer, the problem is reduced to a system of Volterra integral equations of the second kind.
Keywords: boundary value problems, parabolic equations, fractional integro-differentiation operator, loaded equation, regular solution
Received: 01.02.2024
Revised: 09.02.2024
Accepted: 12.02.2024
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35К20
Language: Russian
Citation: M. M. Karmokov, F. M. Nakhusheva, M. H. Abregov, “Boundary value problem for loaded parabolic equations of fractional order”, News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 26:1 (2024), 69–77
Citation in format AMSBIB
\Bibitem{KarNakAbr24}
\by M.~M.~Karmokov, F.~M.~Nakhusheva, M.~H.~Abregov
\paper Boundary value problem for loaded parabolic equations
of fractional order
\jour News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences
\yr 2024
\vol 26
\issue 1
\pages 69--77
\mathnet{http://mi.mathnet.ru/izkab757}
\crossref{https://doi.org/10.35330/1991-6639-2024-26-1-69-77}
\edn{https://elibrary.ru/MPQWLS}
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