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Matematicheskie Trudy, 2004, Volume 7, Number 1, Pages 189–199 (Mi mt74)  
This article is cited in 19 scientific papers (total in 19 papers)

On Smoothness of a Solution to a Boundary Value Problem with Fractional Order Boundary Operator

B. K. Turmetov

Tashkent State Aviation Institute
Full-text PDF (630 kB) Citations (19)
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Abstract: We study a boundary value problem for the Laplace equation with a fractional derivative in the boundary condition. We prove the theorem of smoothness of a solution in the Nikol'skiĭ classes.
Key words: boundary value problem, smoothness of a solution, fractional-order derivative.
Received: 08.08.2003
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: B. K. Turmetov, “On Smoothness of a Solution to a Boundary Value Problem with Fractional Order Boundary Operator”, Mat. Tr., 7:1 (2004), 189–199; Siberian Adv. Math., 15:2 (2005), 115–125
Citation in format AMSBIB
\Bibitem{Tur04}
\by B.~K.~Turmetov
\paper On Smoothness of a~Solution to a~Boundary Value Problem with Fractional Order Boundary Operator
\jour Mat. Tr.
\yr 2004
\vol 7
\issue 1
\pages 189--199
\mathnet{http://mi.mathnet.ru/mt74}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2068280}
\zmath{https://zbmath.org/?q=an:1108.35036}
\elib{https://elibrary.ru/item.asp?id=9530097}
\transl
\jour Siberian Adv. Math.
\yr 2005
\vol 15
\issue 2
\pages 115--125
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  • https://www.mathnet.ru/eng/mt/v7/i1/p189
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:972
    Full-text PDF :192
    References:121
    First page:1
     
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