The operator method for solving the fractional Fokker-Planck equation

被引：3
|
作者：
Elwakil, SA [1 ]
Zahran, MA [1 ]
Abdou, MA [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura, Egypt
来源：
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2003年 / 77卷 / 03期
关键词：
fractional Fokker-Planck equation; operator method; anomalous transport;
D O I：
10.1016/S0022-4073(02)00164-4
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The operator method has been used to solve the fractional Fokker-Planck equation (FPE) which recently formulated as a model for the anomalous transport process. Two classes of special interest of fractional F-P equations coming from plasma physics and charged particle transport problem has been considered. It is shown that the mean square-displacement [x(2)(t)] satisfy the universal power law characterized the anomalous time evolution i.e. [x(2)(t)](t) over tilde (gamma), 0 < gamma < 1. (C) 2003 Published by Elsevier Science Ltd.
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页码：317 / 327
页数：11
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