Journal
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume 193, Issue 1, Pages 185-192Publisher
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2011-01390-6
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Funding
- National Basic Research Program of China (973 Project) [2010CB832702]
- R&D Special Fund for Public Welfare Industry [201101014]
- Fundamental Research Funds for the Central Universities [2010B19114]
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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.
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