Abstract
Considered are systems of single-mass oscillators with different fractional damping behaviour. Similar to the classical model, where the damping terms are represented by first derivatives, the eigensystem can be used to decompose the fractional system in frequency domain, if mass, stiffness and damping matrices are linearly dependent. The solution appears as a linear combination of single-mass oscillators. This is true even in the general case such that stability and causality are insured by the same argumentation as used in the linear dependent case.
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Schäfer, I., Kempfle, S. Impulse Responses of Fractional Damped Systems. Nonlinear Dyn 38, 61–68 (2004). https://doi.org/10.1007/s11071-004-3746-8
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DOI: https://doi.org/10.1007/s11071-004-3746-8