Geodesic
Boundary value problem for loaded parabolic equations
News of the Kabardin-Balkar scientific center of RAS, Tome 26 (2024) no. 1, pp. 69-77

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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, fractional integro-differentiation operator, loaded equation, regular solution
Mots-clés : parabolic equations 
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     title = {Boundary value problem for loaded parabolic equations},
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M. M. Karmokov; F. M. Nakhusheva; M. H. Abregov. Boundary value problem for loaded parabolic equations. News of the Kabardin-Balkar scientific center of RAS, Tome 26 (2024) no. 1, pp. 69-77. http://geodesic.mathdoc.fr/item/IZKAB_2024_26_1_a4/