... of Figs. 5-3 6-4 8-4 (Fourier spectra) and Figs. 5-2 6-3 8-3 (phase portraits) yields the conclusion that the Fourier transformation gives only integral, i.e., generalized picture of vibrations. Namely, Fig. 5-3 shows influence of the contribution on time interval t < 1000 as well...

...Manuel D. Ortigueira; Juan J. Trujillo The generalized Grünwald–Letnikov fractional derivative is analyzed in this paper. Its Laplace and Fourier transforms are computed, and some current results are criticized. It is shown that only the forward derivative of a sinusoid exists. This result is used...

... in viscoelastic solids ( 9 10 11 ). Many other examples can be found in Refs. 8 12 13 14 . boundary-value problems diffusion Fourier transforms stability wave equations 18 01 2010 17 09 2010 15 11 2010 15 11 2010 e-mail: santos@unex.es 2011 American Society...

..., and provides the explicit power spectral density (PSD) of the response. Its implementation first requires expressing the PSD response as a function of the bilinear Fourier transform of the so-called bitemporal impulse response. Then, the spectral method is used to compute the bispectrum function...