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A Physical experimental study of variable-order fractional integrator and differentiator

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Abstract.

Recent research results have shown that many complex physical phenomena can be better described using variable-order fractional differential equations. To understand the physical meaning of variable-order fractional calculus, and better know the application potentials of variable-order fractional operators in physical processes, an experimental study of temperature-dependent variable-order fractional integrator and differentiator is presented in this paper. The detailed introduction of analogue realization of variable-order fractional operator, and the influence of temperature to the order of fractional operator are presented in particular. Furthermore, the potential applications of variable-order fractional operators in PI λ(t) D μ(t) controller and dynamic-order fractional systems are suggested.

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Authors and Affiliations

  1. Department of Electronic Engineering, Dalian University of Technology, Dalian, 116024, China

    H. Sheng

  2. Institute of Soft Matter Mechanics, Department of Engineering Mechanics, Hohai University, Jiangsu, 210098, China

    H.G. Sun

  3. CSOIS, Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322, USA

    H. Sheng, H.G. Sun, C. Coopmans, Y.Q. Chen & G.W. Bohannan

Authors
  1. H. Sheng
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  2. H.G. Sun
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  3. C. Coopmans
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  4. Y.Q. Chen
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  5. G.W. Bohannan
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Corresponding author

Correspondence to Y.Q. Chen.

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Sheng, H., Sun, H., Coopmans, C. et al. A Physical experimental study of variable-order fractional integrator and differentiator. Eur. Phys. J. Spec. Top. 193, 93–104 (2011). https://doi.org/10.1140/epjst/e2011-01384-4

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  • DOI: https://doi.org/10.1140/epjst/e2011-01384-4

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