Mittag-Leffler Pattern in Anomalous Diffusion

被引：0

作者：

Dybiec, Bartlomiej ^{[1
,2
]}

机构：

[1] Jagiellonian Univ, Marian Smoluchowski Inst Phys, PL-30059 Krakow, Poland

[2] Jagiellonian Univ, Mark Kac Ctr Complex Syst Res, PL-30059 Krakow, Poland

来源：

ADVANCES IN THE THEORY AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS | 2013年 / 257卷

关键词：

bi-fractional Fokker-Planck-Smoluchowski equation; Mittag-Leffler function; anomalous diffusion; RANDOM-WALKS; FRACTIONAL DYNAMICS; EQUATIONS; RELAXATION;

D O I：

10.1007/978-3-319-00933-9_12

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Various systems described by the bi-fractional Fokker-Planck-Smoluchowski equation display some very general and universal properties. These universal characteristics originate in the underlying competition between long jumps (fractional space derivative) and long waiting times (fractional time derivative). Using a few selected model examples the universal features of anomalous diffusion will be demonstrated.

引用

页码：141 / 146

页数：6

共 29 条

[1]

[Anonymous], ANOMALOUS TRANSPORT

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3] CTRW pathways to the fractional diffusion equation [J].