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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 4, Pages 27–36
DOI: https://doi.org/10.26907/0021-3446-2022-4-27-36 (Mi ivm9766) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A boundary value problem with conjugation conditions for a degenerate the equations with the Caputo fractional derivative

B. Yu. Irgashevab

a Namangan Engineering Construction Institute, 12 Islam Karimov str., Namangan, 160103 Republic of Uzbekistan
b Institute of Mathematics named after V.I. Romanovsky, 46 University str., Tashkent, 100174, Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2022-4-27-36
Abstract: In this paper, for a degenerate higher-order equation with a fractional derivative in the sense of Caputo, a nonlocal problem with conjugation conditions in a rectangular domain is studied. The solution is constructed in the form of a Fourier series in the eigenfunctions of a one-dimensional problem. A criterion for the uniqueness of a solution is given.
Keywords: even order equation, fractional Caputo derivative, degeneration, conjugation conditions, eigenvalue, eigenfunction, Fourier series, convergence.
Received: 29.06.2021
Revised: 29.06.2021
Accepted: 29.09.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 4, Pages 24–31
DOI: https://doi.org/10.3103/S1066369X2204003X
Document Type: Article
UDC: 517.954: 517.927: 517.589
Language: Russian
Citation: B. Yu. Irgashev, “A boundary value problem with conjugation conditions for a degenerate the equations with the Caputo fractional derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 4, 27–36; Russian Math. (Iz. VUZ), 66:4 (2022), 24–31
Citation in format AMSBIB
\Bibitem{Irg22}
\by B.~Yu.~Irgashev
\paper A boundary value problem with conjugation conditions for a degenerate the equations with the Caputo fractional derivative
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 4
\pages 27--36
\mathnet{http://mi.mathnet.ru/ivm9766}
\crossref{https://doi.org/10.26907/0021-3446-2022-4-27-36}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 4
\pages 24--31
\crossref{https://doi.org/10.3103/S1066369X2204003X}
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    • This publication is cited in the following 4 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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