JOURNAL ARTICLE

The formation of dynamic variable order fractional differential equation

S. SahooS. Saha RayShantanu DasR. K. Bera

Year: 2015 Journal:   International Journal of Modern Physics C Vol: 27 (07)Pages: 1650074-1650074   Publisher: World Scientific

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:
Order (exchange) Variable (mathematics) Fractional calculus Operator (biology) Applied mathematics Mathematics Differential equation Transfer function Function (biology) Viscoelasticity Mathematical analysis Physics Thermodynamics

Metrics

20
Cited By
1.05
FWCI (Field Weighted Citation Impact)
15
Refs
0.81
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Fractional Differential Equations Solutions
Physical Sciences →  Mathematics →  Modeling and Simulation
Numerical methods in engineering
Physical Sciences →  Engineering →  Mechanics of Materials
Numerical methods for differential equations
Physical Sciences →  Mathematics →  Numerical Analysis

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