On the Possibility of the Jerk Derivative in Electrical Circuits

J. F. Gómez-Aguilar, J. Rosales-García, R. F. Escobar-Jiménez, M. G. López-López, V. M. Alvarado-Martínez and V. H. Olivares-Peregrino

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: A subclass of dynamical systems with a time rate of change of acceleration are called Newtonian jerky dynamics. Some mechanical and acoustic systems can be interpreted as jerky dynamics. In this paper we show that the jerk dynamics are naturally obtained for electrical circuits using the fractional calculus approach with order γ. We consider fractional LC and RL electrical circuits with 1 ⩽ γ

Date: 2016
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https://doi.org/10.1155/2016/9740410

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:9740410

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