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The Duffing Model Endowed With Fractional Time Derivative and Multiple Pantograph Time Delays

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2019

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Editura Academiei Romane

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Abstract

In this work, we are concerned with presenting a novel study on the generalized reaction Duffing model involving two actions on the time coordinate: fractional time derivative and multiple pantograph time delays. The modified fractional Maclaurin series is suggested to suit and treat the presence of these time actions. Graphical analysis in support of the impact of fractional order and delay parameters on the dynamics of the Duffing model is performed. One of the findings that has been drawn in this research is to give a reasonable description of one of the cases of physical meaning of fractional derivative.

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Fractional Time Derivative, Multiple Time Delays, Generalized Maclaurin Series, Reaction Duffing Model

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Citation

Alqurana, Marwan...et al. (2019). "The Duffing Model Endowed With Fractional Time Derivative and Multiple Pantograph Time Delays", Romanian Journal of Physics, Vol. 64.

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Romanian Journal of Physics

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64

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