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.

引用

页码：317 / 327

页数：11

共 28 条

[1] [Anonymous], 1983, FRACTAL GEOMETRY NAT
[2] ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS
BOUCHAUD, JP
GEORGES, A
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5): : 127 - 293
[3] Fractional (space-time) Fokker-Planck equation
El-Wakil, SA
Elhanbaly, A
Zahran, MA
[J]. CHAOS SOLITONS & FRACTALS, 2001, 12 (06) : 1035 - 1040
[4] Fractional Fokker-Planck equation
El-Wakil, SA
Zahran, MA
[J]. CHAOS SOLITONS & FRACTALS, 2000, 11 (05) : 791 - 798
[5] Fractional integral representation of master equation
Elwakil, SA
Zahran, MA
[J]. CHAOS SOLITONS & FRACTALS, 1999, 10 (09) : 1545 - 1548
[6] ENGLEMAN R, 1986, FRAGMENTATION FORM F
[7] ANALYTIC SOLUTION OF THE SPENCER-LEWIS ANGULAR-SPATIAL MOMENTS EQUATIONS
FILIPPONE, WL
[J]. NUCLEAR SCIENCE AND ENGINEERING, 1986, 92 (03) : 421 - 439
[8] Gardiner C. W., 1985, HDB STOCHASTIC METHO, V3
[9] Gradshtyen I. S., 1980, TABLE INTEGRALS SERI
[10] GUYON E, 1993, INSTABILITIES NONEQU

← 1 2 3 →