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Nanosystems: Physics, Chemistry, Mathematics, 2023, Volume 14, Issue 5, Pages 511–517
DOI: https://doi.org/10.17586/2220-8054-2023-14-5-511-517 (Mi nano1216) 		 
MATHEMATICS

Boundary value problem for a degenerate equation with a Riemann–Liouville operator

Bakhrom Yu. Irgashevab

a Namangan Engineering Construction Institute, Namangan, Uzbekistan
b Institute of Mathematics named after V. I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan, Uzbekistan
Full-text PDF (137 kB)
DOI: https://doi.org/10.17586/2220-8054-2023-14-5-511-517
Abstract: In the article, the uniqueness and solvability of one boundary value problem for a high-order equation with two lines of degeneracy with a fractional Riemann–Liouville derivative in a rectangular domain is studied by the Fourier method. Sufficient conditions for the well-posedness of the problem posed are obtained.
Keywords: high order equation, initial-boundary value problem, fractional derivative in the sense of Riemann–Liouville, eigenvalue, eigenfunction, Kilbas–Saigo function, series, convergence, existence, uniqueness.
Received: 21.06.2023
Revised: 08.08.2023
Accepted: 09.09.2023
Bibliographic databases:
Document Type: Article
Language: English
Citation: Bakhrom Yu. Irgashev, “Boundary value problem for a degenerate equation with a Riemann–Liouville operator”, Nanosystems: Physics, Chemistry, Mathematics, 14:5 (2023), 511–517
Citation in format AMSBIB
\Bibitem{Irg23}
\by Bakhrom~Yu.~Irgashev
\paper Boundary value problem for a degenerate equation with a Riemann--Liouville operator
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2023
\vol 14
\issue 5
\pages 511--517
\mathnet{http://mi.mathnet.ru/nano1216}
\crossref{https://doi.org/10.17586/2220-8054-2023-14-5-511-517}
\elib{https://elibrary.ru/item.asp?id=54792154}
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