The formation of dynamic variable order fractional differential equation

S. Sahoo, S. Saha Ray, S. Das and R. K. Bera
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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

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 07, 1-12

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.

Keywords: Variable order integral operator; variable order differential operator; viscous-viscoelastic oscillator; viscoelastic-viscous oscillator; variable viscoelastic oscillator (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500741

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