Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2016, Volume 12, Number 1, Pages 48–77
DOI: https://doi.org/10.15407/mag12.01.048
(Mi jmag628)
 

This article is cited in 5 scientific papers (total in 5 papers)

Solvability in Hölder space of an initial boundary value problem for the time-fractional diffusion equation

M. V. Krasnoschok

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, 1 Dobrovol'skogo Str., Slov'yansk 84100, Ukraine
Full-text PDF (256 kB) Citations (5)
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Abstract: In this paper we consider an initial boundary value problem for the time-fractional diffusion equation with mixed boundary conditions. We prove a theorem of existence and uniqueness of solution to this problem in Hölder spaces.
Key words and phrases: fractional-order diffusion, Hölder spaces, Caputo derivative.
Received: 13.10.2014
Revised: 20.04.2015
Bibliographic databases:
Document Type: Article
MSC: Primary 35B65; Secondary 26A33
Language: English
Citation: M. V. Krasnoschok, “Solvability in Hölder space of an initial boundary value problem for the time-fractional diffusion equation”, Zh. Mat. Fiz. Anal. Geom., 12:1 (2016), 48–77
Citation in format AMSBIB
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\by M.~V.~Krasnoschok
\paper Solvability in H\"older space of an initial boundary value problem for the time-fractional diffusion equation
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2016
\vol 12
\issue 1
\pages 48--77
\mathnet{http://mi.mathnet.ru/jmag628}
\crossref{https://doi.org/10.15407/mag12.01.048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3477949}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000368348000003}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:48
     
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