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

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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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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spelling irk-123456789-1405472018-07-11T01:23:01Z Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion Krasnoschok, M.V. 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. Рассмотрена начально-краевая задача для уравнения диффузии с дробной производной по времени со смешанными граничными условиями. Доказана теорема существования и единственности решения этой задачи в пространствах Гёльдера. 2016 Article 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. . 1812-9471 DOI: doi.org/10.15407/mag12.01.048 Mathematics Subject Classification 2000: 35B65 (primary); 26A33 (secondary) http://dspace.nbuv.gov.ua/handle/123456789/140547 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Krasnoschok, M.V.
spellingShingle Krasnoschok, M.V.
Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
Журнал математической физики, анализа, геометрии
author_facet Krasnoschok, M.V.
author_sort Krasnoschok, M.V.
title Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
title_short Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
title_full Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
title_fullStr Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
title_full_unstemmed Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
title_sort solvability in holder space of an initial boundary value problem for the time-fractional diffusion
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2016
url http://dspace.nbuv.gov.ua/handle/123456789/140547
citation_txt 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. .
series Журнал математической физики, анализа, геометрии
work_keys_str_mv AT krasnoschokmv solvabilityinholderspaceofaninitialboundaryvalueproblemforthetimefractionaldiffusion
first_indexed 2023-10-18T21:22:53Z
last_indexed 2023-10-18T21:22:53Z
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