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“NEWS OF THE KABARDINO-BALKARIAN SCIENTIFIC CENTER OF RAS”

Certificate of registration PI No. 77-14936 March 20, 2003 issued by the Ministry of Russian Federation of Press, Broadcasting and Mass Communications

The journal was founded in 1998, 6 issues per year
ISSN 1991-6639 (print), ISSN 2949-1940 (online)

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Boundary value problem for loaded parabolic equationsof fractional order

M.M. Karmokov, F.M. Nakhusheva, M.Kh. Abregov

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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

For citation. Karmokov M.M., Nakhusheva F.M., Abregov M.Kh. Boundary value problem for loaded parabolic equations of fractional order. News of the Kabardino-Balkarian Scientific Center of RAS. 2024. Vol. 26. No. 1. Pp. 69–77. DOI: 10.35330/1991-6639-2024-26-1-69

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