On the possibility of the jerk derivative in electrical circuits

DOI10.1155/2016/9740410zbMath1357.34086OpenAlexW2552336253WikidataQ59122609 ScholiaQ59122609MaRDI QIDQ504759

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 January 2017

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9740410

zbMATH Keywords

fractional LC and RL electrical circuits

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Related Items (4)

Second and third order forward difference operator: what is in between? ⋮ An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator ⋮ An innovative technique to solve a fractal damping Duffing-jerk oscillator ⋮ Fractional input stability for electrical circuits described by the Riemann-Liouville and the Caputo fractional derivatives

Uses Software

• sysdfod
• DFOC

Cites Work

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• Studies on fractional order differentiators and integrators: a survey
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Anlogue realizations of fractional-order controllers.
• Evolution of a current in a resistor
• Triple pendulum model involving fractional derivatives with different kernels
• Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
• Passive and Active Elements Using Fractional ${\rm L}_{\beta} {\rm C}_{\alpha}$ Circuit

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