Fractional driven-damped oscillator and its general closed form exact solution
From MaRDI portal
Publication:2149664
DOI10.1016/J.PHYSA.2018.03.044OpenAlexW2797199946WikidataQ130016371 ScholiaQ130016371MaRDI QIDQ2149664
Michael Berman, Lorenz S. Cederbaum
Publication date: 29 June 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2018.03.044
Laplace transformsfractional calculusMittag-Leffler functionsCaputo derivativesexact closed-form solutiondriven damped harmonic oscillatordriven damped oscillator
Related Items (2)
On the fractional Kelvin-Voigt oscillator ⋮ Generalized Caputo-Fabrizio fractional differential equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mittag-Leffler functions and their applications
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Response characteristics of a fractional oscillator
- Future directions in fractional calculus research and applications
- A review of applications of fractional calculus in Earth system dynamics
- Niels Henrik Abel and the birth of fractional calculus
- The role of fractional calculus in modeling biological phenomena: a review
- Volterra integral equations and fractional calculus: do neighboring solutions intersect?
- A Unified Framework for Numerically Inverting Laplace Transforms
- NOTE ON THE FORCED AND DAMPED OSCILLATOR IN QUANTUM MECHANICS
- Special Functions for Applied Scientists
- Fractional Calculus
- Mittag-Leffler Functions, Related Topics and Applications
- Dynamics of the fractional oscillator
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Fractional driven-damped oscillator and its general closed form exact solution