The formation of dynamic variable order fractional differential equation-Reference-Cited by-同舟云学术

The formation of dynamic variable order fractional differential equation

Published:2016-05-24 Issue:07 Volume:27 Page:1650074
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Sahoo S.¹,Saha Ray S.¹,Das S.²,Bera R. K.³

Affiliation:

1. National Institute of Technology, Department of Mathematics, Rourkela 769008, India

2. Reactor Control Division, Bhabha Atomic Research Centre, Trombay 400085, Mumbai, India

3. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183116500741

Reference16 articles.

1. Mechanics with variable-order differential operators

2. Control of damping oscillations by fractional differential operator with time-dependent order

3. The variable viscoelasticity oscillator

4. Integration and differentiation to a variable fractional order

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