Impulse response function of an oscillator with fractional derivative in damping description

The paper recalls and generalizes constitutive equations of viscoelastic behaviour of materials and members in time and frequency domain. The impulse response function of an oscillator with fractional derivative damping model is integrated in the present paper by a new efficient technique using inverse Fourier transform. This requires a unique definition of the constitutive equations in frequency domain. The response is shown to fulfill causality requirement