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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 9(100), Pages 52–60 (Mi vsgu99)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On a problem with generalized operators of fractional differentiation for a degenerated inside a domain hyperbolic equation

O. A. Repina, S. K. Kumykovab

a Dept. of Mathematical Statistics and Econometrics, Samara State University of Economics, Samara, 443090, Russian Federation
b Dept. of Function Theory and Functional Analysis, Kabardino-Balkarian State University, Nalchik, 360004, Russian Federation
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Abstract: In this paper, we consider a problem with Saigo operators of fractional differentiation in a boundary condition on a characteristic part of a boundary. The unique solvability of this problem is proved.
Keywords: integral and derivative of Riemann–Liouville fractional order, integral equations of Fredholm, Gauss hypergeometric function, kernel resolvent.
Received: 03.09.2012
Revised: 03.09.2012
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “On a problem with generalized operators of fractional differentiation for a degenerated inside a domain hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 52–60
Citation in format AMSBIB
\Bibitem{RepKum12}
\by O.~A.~Repin, S.~K.~Kumykova
\paper On a~problem with generalized operators of fractional differentiation for a~degenerated inside a~domain hyperbolic equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 9(100)
\pages 52--60
\mathnet{http://mi.mathnet.ru/vsgu99}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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