A comparative study of constant-order and variable-order fractional models in characterizing memory property of systems

. How to characterize the memory property of systems is a challenging issue in the modeling and analysis of complex systems. This study makes a comparative investigation of integer-order derivative, constant-order fractional derivative and two types of variable-order fractional derivatives in charac...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2011-03, Vol.193 (1), p.185-192
Main Authors: Sun, H.G., Chen, W., Wei, H., Chen, Y.Q.
Format: Article
Language:English
Subjects:
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Materials Science
Measurement Science and Instrumentation
Modelling
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:. How to characterize the memory property of systems is a challenging issue in the modeling and analysis of complex systems. This study makes a comparative investigation of integer-order derivative, constant-order fractional derivative and two types of variable-order fractional derivatives in characterizing the memory property of systems. The advantages and potential applications of two variable-order derivative definitions are highlighted through a comparative analysis of anomalous relaxation process.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2011-01390-6