Anomalous relaxation and diffusion processes in complex systemsa
作者:
G. Baumann,
N. Südland,
T.F. Nonnenmacher,
期刊:
Transport Theory and Statistical Physics
(Taylor Available online 2000)
卷期:
Volume 29,
issue 1-2
页码: 157-171
ISSN:0041-1450
年代: 2000
DOI:10.1080/00411450008205866
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Over the last two decades anomalous relaxation and diffusion processes have been studied from both the experimental and theoretical point of view. Anomalous transport processes occur usually in so-called complex, i.e. in disordered systems. Here, we review some recent developments in modeling non-standard relaxation and diffusion equations based on Riemann-Liouville fractional calculus techniques. Closed analytical expressions of the solutions of such fractional differential equations are given in terms of Fox's H-functions. The analytical calculations carried out are fully supported by ourMathematicapackageFractional Calculus.
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