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 Boundary value problems of fractional Fokker-Planck equations Aleroev, Temirkhan S.1; Aleroeva, Hedi T.2; Huang, Jianfei3; Tamm, Mikhail V.4,5; Tang, Yifa6; Zhao, Yue6 2017-03-15 Source Publication COMPUTERS & MATHEMATICS WITH APPLICATIONS ISSN 0898-1221 Volume 73Issue:6Pages:959-969 Abstract 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. Keyword Boundary value problems Fractional Fokker-Planck equations The Fourier method Caputo derivative operator DOI 10.1016/j.camwa.2016.06.038 Language 英语 Funding Project National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11472247] ; ITER-China Program[2014GB124005] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000398875300008 Publisher PERGAMON-ELSEVIER SCIENCE LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/25186 Collection 计算数学与科学工程计算研究所 Corresponding Author Zhao, Yue Affiliation 1.Moscow MV Lomonosov State Univ, Natl Res Univ, Dept Higher Math, Civil Engn, Moscow 129337, Russia2.Moscow Tech Univ Commun & Informat, Dept Appl Math, Moscow 111024, Russia3.Qingdao Univ, Coll Math, Dept Appl Math, Qingdao 266071, Peoples R China4.Natl Res Univ Higher Sch Econ, Dept Appl Math, Moscow 101000, Russia5.Moscow MV Lomonosov State Univ, Dept Phys, Moscow 119991, Russia6.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China Recommended CitationGB/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.
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