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Trudy Moskovskogo Matematicheskogo Obshchestva, 2018, Volume 79, Issue 2, Pages 209–219
(Mi mmo612)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 19.12.2017
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
Linking options:
https://www.mathnet.ru/eng/mmo612 https://www.mathnet.ru/eng/mmo/v79/i2/p209
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