Boundary value problems of fractional Fokker-Planck equations
文献类型：期刊论文
| 作者 | Aleroev, Temirkhan S.1; Aleroeva, Hedi T.2; Huang, Jianfei3; Tamm, Mikhail V.4,5; Tang, Yifa6 ; Zhao, Yue6
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| 刊名 | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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| 出版日期 | 2017-03-15 |
| 卷号 | 73期号:6页码:959-969 |
| 关键词 | Boundary value problems Fractional Fokker-Planck equations The Fourier method Caputo derivative operator |
| ISSN号 | 0898-1221 |
| DOI | 10.1016/j.camwa.2016.06.038 |
| 英文摘要 | This paper is devoted to solving boundary value problems for important fractional differential equations of the Fokker Planck family, in particular, to studying fractional differential equation for advection dispersion. The consideration is carried out by the separation of variables (the Fourier method). Most part of this paper is devoted to justification of this method, to proof of a basis of the system of eigenfunctions for the basic equation (Aleroev et al., 2015) for modeling the random walk of a point particle which starts to move at the origin of coordinates in t = 0 on a self-similar fractal set. (C) 2016 Elsevier Ltd. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11472247] ; ITER-China Program[2014GB124005] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000398875300008 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25185]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhao, Yue |
| 作者单位 | 1.Moscow MV Lomonosov State Univ, Natl Res Univ, Dept Higher Math, Civil Engn, Moscow 129337, Russia 2.Moscow Tech Univ Commun & Informat, Dept Appl Math, Moscow 111024, Russia 3.Qingdao Univ, Coll Math, Dept Appl Math, Qingdao 266071, Peoples R China 4.Natl Res Univ Higher Sch Econ, Dept Appl Math, Moscow 101000, Russia 5.Moscow MV Lomonosov State Univ, Dept Phys, Moscow 119991, Russia 6.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Aleroev, Temirkhan S.,Aleroeva, Hedi T.,Huang, Jianfei,et al. Boundary value problems of fractional Fokker-Planck equations[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2017,73(6):959-969. |
| APA | Aleroev, Temirkhan S.,Aleroeva, Hedi T.,Huang, Jianfei,Tamm, Mikhail V.,Tang, Yifa,&Zhao, Yue.(2017).Boundary value problems of fractional Fokker-Planck equations.COMPUTERS & MATHEMATICS WITH APPLICATIONS,73(6),959-969. |
| MLA | Aleroev, Temirkhan S.,et al."Boundary value problems of fractional Fokker-Planck equations".COMPUTERS & MATHEMATICS WITH APPLICATIONS 73.6(2017):959-969. |
入库方式： OAI收割
来源：数学与系统科学研究院
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