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Reports of Adyghe (Circassian) International Academy of Sciences, 2021, Volume 21, Issue 4, Pages 10–14
DOI: https://doi.org/10.47928/1726-9946-2021-21-4-10-14 (Mi aman24) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Generalized boundary value problem for a second order differential equation with fractional derivative

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.47928/1726-9946-2021-21-4-10-14
URL: https://doklady.aman-circassian.ru/doklady-aman-t-21-4-s-10-14-issn-1726-9946
Abstract: A generalized boundary value problem for a second-order differential equation with a fractional derivative is solved. An explicit representation of the solution of the problem under study is constructed, a condition for unique solvability is found, and a uniqueness theorem for the solution is proved.
Keywords: fractional order equations, functional, Riemann – Liouville operator, Mittag-Leffler function.
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: L. Kh. Gadzova, “Generalized boundary value problem for a second order differential equation with fractional derivative”, Reports of AIAS, 21:4 (2021), 10–14
Citation in format AMSBIB
\Bibitem{Gad21}
\by L.~Kh.~Gadzova
\paper Generalized boundary value problem for a second order differential equation with fractional derivative
\jour Reports of AIAS
\yr 2021
\vol 21
\issue 4
\pages 10--14
\mathnet{http://mi.mathnet.ru/aman24}
\crossref{https://doi.org/10.47928/1726-9946-2021-21-4-10-14}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=47507042}
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    • This publication is cited in the following 1 articles:
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