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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 3, Pages 376–388
DOI: https://doi.org/10.17516/1997-1397-2021-14-3-376-388 (Mi jsfu922) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The time-fractional Airy equation on the metric graph

Kamoladdin Rakhimova, Zarifboy Sobirovb, Nasridin Zhabborova

a National University of Uzbekistan, Tashkent, Uzbekistan
b University of Geological Sciences, Tashkent, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2021-14-3-376-388
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
Citation in format AMSBIB
\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
\mathnet{http://mi.mathnet.ru/jsfu922}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-3-376-388}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000658493100011}
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    • This publication is cited in the following 1 articles:
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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