Linear Fractionally Damped Oscillator

The linearly damped oscillator equation is considered with the damping term generalized to a Caputo fractional derivative. The order of the derivative being considered is 0≤𝑣≤1. At the lower end (𝑣=0) the equation represents an undamped oscillator and at the upper end (𝑣=1) the ordinary linearly d...

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Bibliographic Details
Main Author: Mark Naber
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/197020