Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion

In this paper we consider an initial boundary value problem for the timefractional diffusion equation with mixed boundary conditions. We prove a theorem of existence and uniqueness of solution to this problem in Hölder spaces.

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Bibliographic Details
Date:2016
Main Author: Krasnoschok, M.V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2016
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/140547
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion / M.V. Krasnoschok // Журнал математической физики, анализа, геометрии. — 2016. — Т. 12, № 1. — С. 48-77. — Бібліогр.: 24 назв. — англ. .

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:In this paper we consider an initial boundary value problem for the timefractional diffusion equation with mixed boundary conditions. We prove a theorem of existence and uniqueness of solution to this problem in Hölder spaces.