Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958596 | Computers & Mathematics with Applications | 2017 | 11 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Temirkhan S. Aleroev, Hedi T. Aleroeva, Jianfei Huang, Mikhail V. Tamm, Yifa Tang, Yue Zhao,