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 Tr. Mosk. Mat. Obs., 2018, Volume 79, Issue 2, Pages 209–219 (Mi mmo612)

Symmetric differential operators of fractional order and their extensions

N. E. Tokmagambetovab, B. T. Torebekab

a Al-Farabi Kazakh National University, Alma-Ata, Kazakhstan
b Institute of Mathematics and Mathematical Modeling

Abstract: This paper is devoted to the description of symmetric operators and the justification of Green's formula for a fractional analogue of the Sturm–Liouville operator of order $2\alpha$, where $\frac {1}{2}<\alpha <1$.

Key words and phrases: self-adjoint extensions, Green's formula, differential equation of fractional order, boundary value problem, fractional Sturm–Liouville operator.

 Funding Agency Grant Number Ministry of Education and Science of the Republic of Kazakhstan AP05130994AP05131756

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English version:
Transactions of the Moscow Mathematical Society, 2018, 177–185

UDC: 517.958
MSC: 45J05, 35S99

Citation: N. E. Tokmagambetov, B. T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Tr. Mosk. Mat. Obs., 79, no. 2, MCCME, M., 2018, 209–219; Trans. Moscow Math. Soc., 2018, 177–185

Citation in format AMSBIB
\Bibitem{TokTor18} \by N.~E.~Tokmagambetov, B.~T.~Torebek \paper Symmetric differential operators of fractional order and their extensions \serial Tr. Mosk. Mat. Obs. \yr 2018 \vol 79 \issue 2 \pages 209--219 \publ MCCME \publaddr M. \mathnet{http://mi.mathnet.ru/mmo612} \elib{http://elibrary.ru/item.asp?id=37045095} \transl \jour Trans. Moscow Math. Soc. \yr 2018 \pages 177--185 \crossref{https://doi.org/10.1090/mosc/279} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85060993789}