TY - JOUR
T1 - The duffing model endowed with fractional time derivative and multiple pantograph time delays
AU - Alquran, Marwan
AU - Jaradat, Imad
AU - Baleanu, Dumitru
AU - Muhammed, Syam
N1 - Publisher Copyright:
© 2019, Editura Academiei Romane. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Fractional time derivative
KW - generalized Maclaurin series
KW - multiple time delays
KW - reaction Duffing model
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M3 - Article
AN - SCOPUS:85071926937
SN - 1221-146X
VL - 64
JO - Romanian Journal of Physics
JF - Romanian Journal of Physics
IS - 5-6
M1 - 107
ER -