Fractional Driven Damped Oscillator

Abstract

The resonances associated with a fractional damped oscillator which is driven by an oscillatory external force are studied. It is shown that such resonances can be manipulated by tuning up either the coefficient of the fractional damping or the order of the corresponding fractional derivatives.

arXiv comment5 pages, 1 Figure. A misprint appearing in Eq. (6) of the published version is amended. Based on the work presented by F. Olivar-Romero in the Quantum Fest 2016: International Conference on Quantum Phenomena, Quantum Control and Quantum Optics, 17-21 October 2016, Mexico City, Mexico

References in corpus (2)

• A Primer on Resonances in Quantum Mechanics
• Factorization of the Quantum Fractional Oscillator

Cited by in corpus (2)

• Transition from the wave equation to either the heat or the transport equations through fractional differential expressions
• Approximate solutions of one dimensional systems with fractional derivative