The generalized Grünwal-Letnikov fractional derivative is analysed in this paper. Its Laplace and Fourier Transforms are computed and some current results criticized. It is shown that only the forward derivative of a sinusoid exists. This result is used to define the frequency response of a fractional linear system.
|Title of host publication||PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE|
|Publication status||Published - 1 Jan 2010|
|Event||7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location - |
Duration: 1 Jan 2009 → …
|Conference||7th International Conference on Multibody Systems, Nonlinear Dynamics and Control Location|
|Period||1/01/09 → …|