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News of the Kabardin-Balkar scientific center of RAS, 2016, Issue 6, Pages 75–80 (Mi izkab212)  
This article is cited in 1 scientific paper (total in 1 paper)

COMPUTER SCIENCE. MATHEMATICS

Solution of a two-dimensional Abel integral equation of the second kind

A. V. Pskhu

Institute of Applied Mathematics and Automation, 360000, KBR, Nalchik, Shortanov street, 89-а
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Abstract: In the article we construct an explicit representation for a solution of a linear two-dimensional Abel type integral equation of the second kind with partial fractional integrals. The solution representation is given in terms of the Wright function.
Keywords: Abel integral equation, Riemann-Liouville fractional integral, Wright function.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462
This work was supported by the Russian Foundation for Basic Research, project number 16-01-00462.
Received: 26.10.2016
Document Type: Article
UDC: 517.968.22
Language: Russian
Citation: A. V. Pskhu, “Solution of a two-dimensional Abel integral equation of the second kind”, News of the Kabardin-Balkar scientific center of RAS, 2016, no. 6, 75–80
Citation in format AMSBIB
\Bibitem{Psk16}
\by A.~V.~Pskhu
\paper Solution of a two-dimensional Abel integral equation of the second kind
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2016
\issue 6
\pages 75--80
\mathnet{http://mi.mathnet.ru/izkab212}
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  • https://www.mathnet.ru/eng/izkab/y2016/i6/p75
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