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Transparent Boundary Conditions for a Diffusion Problem Modified by Hilfer Derivative
http://hdl.handle.net/2261/59054
http://hdl.handle.net/2261/590543a164e4e-40da-4549-9e20-a96eed11ff5c
名前 / ファイル | ライセンス | アクション |
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jms210104.pdf (636.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | Transparent Boundary Conditions for a Diffusion Problem Modified by Hilfer Derivative | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Caputo fractional derivative | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Hilfer fractional derivative | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | fractional diffusion problem | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Mittag-Leffler function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | artificial boundary condition | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | reduced equivalent problem | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Ghanam, Ryad A.
× Ghanam, Ryad A.× Malik, Nadeem A.× Tatar, Nasser-eddine |
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著者所属 | ||||||
著者所属 | Department of Mathematics, University of Pittsburgh at Greensburg | |||||
著者所属 | ||||||
著者所属 | King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We consider a homogeneous fractional diffusion problem in an infinite reservoir sometimes called a “modified” diffusion equation. The equation involves a (nonlocal in time) memory term in the form of a time fractional derivative (of the Laplacian). For the sake of reducing the computational domain to a bounded one we establish appropriate “artificial” boundary conditions. This is to avoid the effect of reflected waves in case of a “solid” standard boundary. Then, an equivalent problem is studied in this bounded domain. To this end we use the Laplace-Fourier transform, the two-parameter Mittag-Leffler function and some properties of fractional derivatives. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 21, 号 1, p. 129-152, 発行日 2014-06-30 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
35K20(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
26A33(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
42A38(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2014-01-06 |