The duffing model endowed with fractional time derivative and multiple pantograph time delays

Marwan Alquran, Imad Jaradat, Dumitru Baleanu, Syam Muhammed

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

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.

Original languageEnglish
Article number107
JournalRomanian Journal of Physics
Volume64
Issue number5-6
Publication statusPublished - 2019

Keywords

  • Fractional time derivative
  • generalized Maclaurin series
  • multiple time delays
  • reaction Duffing model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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