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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2022, Volume 7, Issue 1, Pages 20–29
DOI: https://doi.org/10.47475/2500-0101-2022-17102 (Mi chfmj268) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Generalized boundary problem for an ordinary differential equation of fractional order

L. Kh. Gadzova

Institute of Applied Mathematics and Automation of Kabardino-Balkar Scientific Center of the Russian Academy of Sciences, Nalchik, Russia
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DOI: https://doi.org/10.47475/2500-0101-2022-17102
Abstract: For an ordinary differential equation of fractional order, a problem with general conditions is formulated and solved. A representation of a solution of the problem under study is found. The uniqueness theorem of a solution is proved. The boundary conditions are given in the form of linear functionals, which allows us to cover a fairly wide class of linear local and non-local conditions.
Keywords: fractional order equation, functional, Gerasimov — Caputo fractional derivative, Mittag-Leffler function.
Received: 06.10.2021
Revised: 28.02.2022
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: L. Kh. Gadzova, “Generalized boundary problem for an ordinary differential equation of fractional order”, Chelyab. Fiz.-Mat. Zh., 7:1 (2022), 20–29
Citation in format AMSBIB
\Bibitem{Gad22}
\by L.~Kh.~Gadzova
\paper Generalized boundary problem for an ordinary differential equation of fractional order
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2022
\vol 7
\issue 1
\pages 20--29
\mathnet{http://mi.mathnet.ru/chfmj268}
\crossref{https://doi.org/10.47475/2500-0101-2022-17102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4409129}
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