Published May 25, 2007 | Version v1
Journal article

Anomalous diffusion without scale invariance

Creators

  • 1. Department of Earth Sciences, University of Bergen, Allegaten 41, N5007 Bergen (Norway)

Description

Asymptotic behaviour of a new class of anomalous diffusion equations for subdiffusive transport defined in terms of generalized distributed fractional-order time derivatives is considered. The effect of slowly varying factors on the scaling function of asymptotic solutions is demonstrated. The origin of slowly varying scaling factors in the CTRW models is discussed

Additional details

Identifiers

DOI
10.1088/1751-8113/40/21/007;
PII
S1751-8113(07)41915-1;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
40
Journal Issue
21
Journal Page Range
p. 5551-5563
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38072518
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; DIFFUSION; DIFFUSION EQUATIONS; FUNCTIONS; SCALE INVARIANCE
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS