Boundary value problems of fractional Fokker-Planck equations

doi:10.1016/j.camwa.2016.06.038

	Boundary value problems of fractional Fokker-Planck equations
	Aleroev, Temirkhan S.1; Aleroeva, Hedi T.2; Huang, Jianfei 3; Tamm, Mikhail V.4,5; Tang, Yifa6 ; Zhao, Yue 6
	2017-03-15
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	73 期号:6 页码:959-969
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.
关键词	Boundary value problems Fractional Fokker-Planck equations The Fourier method Caputo derivative operator
DOI	10.1016/j.camwa.2016.06.038
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000398875300008
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25186
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.