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

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Abstract.

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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Authors and Affiliations

  1. Institute of Soft Matter Mechanics, Department of Engineering Mechanics, Hohai University, No.1 XiKang Road, Nanjing, Jiangsu, 210098, China

    H.G. Sun, W. Chen & H. Wei

  2. Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, 4160 Old Main Hill, Logan, UT 84322-4160, USA

    Y.Q. Chen

Authors
  1. H.G. Sun
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  2. W. Chen
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  3. H. Wei
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  4. Y.Q. Chen
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Correspondence to W. Chen.

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Sun, H., Chen, W., Wei, H. et al. A comparative study of constant-order and variable-order fractional models in characterizing memory property of systems. Eur. Phys. J. Spec. Top. 193, 185–192 (2011). https://doi.org/10.1140/epjst/e2011-01390-6

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  • DOI: https://doi.org/10.1140/epjst/e2011-01390-6

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