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. Рассмотрена начально-краевая задача для уравнения диффузии с дробной прои...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862607213387841536 |
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| author | Krasnoschok, M.V. |
| author_facet | Krasnoschok, M.V. |
| 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.
 . |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
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.
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| first_indexed | 2025-11-28T13:52:33Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-140547 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-28T13:52:33Z |
| publishDate | 2016 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Krasnoschok, M.V. 2018-07-10T10:51:10Z 2018-07-10T10:51:10Z 2016 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) https://nasplib.isofts.kiev.ua/handle/123456789/140547 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion Article published earlier |
| spellingShingle | Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion Krasnoschok, M.V. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/140547 |
| work_keys_str_mv | AT krasnoschokmv solvabilityinholderspaceofaninitialboundaryvalueproblemforthetimefractionaldiffusion |