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The formation of dynamic variable order fractional differential equation

Author

Listed:
  • S. Sahoo

    (National Institute of Technology, Department of Mathematics, Rourkela 769008, India)

  • S. Saha Ray

    (National Institute of Technology, Department of Mathematics, Rourkela 769008, India)

  • S. Das

    (Reactor Control Division, Bhabha Atomic Research Centre, Trombay 400085, Mumbai, India)

  • R. K. Bera

    (Department of Mathematics, National Institute of Technical Teachers’ Training and Research, Kolkata 700106, India)

Abstract

In this paper, the formation of variable order (VO) model is established for continuous order fractional model. We review the definitions and properties of VO operators given by many researchers. We use the VO operator to define the new transfer function and analyze the model of a dynamic viscoelastic oscillator.

Suggested Citation

  • S. Sahoo & S. Saha Ray & S. Das & R. K. Bera, 2016. "The formation of dynamic variable order fractional differential equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 27(07), pages 1-12, July.
    • Handle: RePEc:wsi:ijmpcx:v:27:y:2016:i:07:n:s0129183116500741
    DOI: 10.1142/S0129183116500741
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