The fractional Fokker-Planck equation on comb-like model

被引：20

作者：

Zahran, MA ^{[1
]}

Abulwafa, EM ^{[1
]}

Elwakil, SA ^{[1
]}

机构：

[1] Univ Mansoura, Fac Sci, Dept Phys, Theoret Phys Grp, Mansoura 34517, Egypt

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 323卷

关键词：

fractional calculus; anomalous diffusion; operator method;

D O I：

10.1016/S0378-4371(02)02026-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fractional Fokker-Planck equation, were used to describe the anomalous diffusion in external fields, is derived using a comb-like structure as a background model. For the force-free case, the distribution function associated with space dependence diffusion coefficient along the backbone of the structure are obtained in a closed form of H-function. The operator method has been used to solve the fractional Fokker-Planck equation taking the external field into account. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：237 / 248

页数：12

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