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Reports of Adyghe (Circassian) International Academy of Sciences, 2021, Volume 21, Issue 2, Pages 9–14
DOI: https://doi.org/10.47928/1726-9946-2021-21-2-9-14 (Mi aman6) 		 
MATHEMATICS

Problem for an ordinary differential equation with a general boundary condition

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, Nalchik
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DOI: https://doi.org/10.47928/1726-9946-2021-21-2-9-14
Abstract: For an ordinary differential equation of fractional order with a general boundary condition, a general representation of the solution of the equation is found, a condition of unique solvability is found, and an explicit representation of the solution is constructed.
Keywords: fractional order equations, functional, Gerasimov-Caputo fractional derivative, Mittag-Leffler function.
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: L. Kh. Gadzova, “Problem for an ordinary differential equation with a general boundary condition”, Reports of AIAS, 21:2 (2021), 9–14
Citation in format AMSBIB
\Bibitem{Gad21}
\by L.~Kh.~Gadzova
\paper Problem for an ordinary differential equation with a general boundary condition
\jour Reports of AIAS
\yr 2021
\vol 21
\issue 2
\pages 9--14
\mathnet{http://mi.mathnet.ru/aman6}
\crossref{https://doi.org/10.47928/1726-9946-2021-21-2-9-14}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=46411582}
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