Abstract:
Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions of the considered problem were found. The uniqueness theorem is proved using the analogue of Grönwall-Bellman inequality and a-priory estimate.
Keywords:time-fractional Airy equation, IBVP, PDE on metric graphs, fundamental solutions, integral representation.
Received: 10.09.2020 Received in revised form: 10.12.2020 Accepted: 20.02.2021
Bibliographic databases:
Document Type:
Article
UDC:517.95
Language: English
Citation:
Kamoladdin Rakhimov, Zarifboy Sobirov, Nasridin Zhabborov, “The time-fractional Airy equation on the metric graph”, J. Sib. Fed. Univ. Math. Phys., 14:3 (2021), 376–388
\Bibitem{RakSobZha21}
\by Kamoladdin~Rakhimov, Zarifboy~Sobirov, Nasridin~Zhabborov
\paper The time-fractional Airy equation on the metric graph
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 3
\pages 376--388
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\crossref{https://doi.org/10.17516/1997-1397-2021-14-3-376-388}
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Linking options:
https://www.mathnet.ru/eng/jsfu922
https://www.mathnet.ru/eng/jsfu/v14/i3/p376
This publication is cited in the following 1 articles:
Sobirov Z.A. Rakhimov K.U. Ergashov R.E., “Green'S Function Method For Time-Fractional Diffusion Equation on the Star Graph With Equal Bonds”, Nanosyst.-Phys. Chem. Math., 12:3 (2021), 271–278