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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 PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume73Issue:6Pages:959-969
AbstractThis 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.
KeywordBoundary value problems Fractional Fokker-Planck equations The Fourier method Caputo derivative operator
DOI10.1016/j.camwa.2016.06.038
Language英语
Funding ProjectNational Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11472247] ; ITER-China Program[2014GB124005]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000398875300008
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25186
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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