http://hdl.handle.net/10362/1700 CTS - AIAC 2013-05-19T09:17:43Z http://hdl.handle.net/10362/1718 Title: On the fractional central differences and derivatives Authors: Ortigueira, M.D. Abstract: Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials. The coherence of these definitions is studied by applying the definitions to functions with Fourier transformable functions. Some properties of these derivatives are presented and particular cases studied. 2008-04-01T00:00:00Z http://hdl.handle.net/10362/1717 Title: An introduction to the fractional continuous-time linear systems Authors: Ortigueira, M.D. Abstract: A brief introduction to the fractional continuous-time linear systems is presented. It will be done without needing a deep study of the fractional derivatives. We will show that the computation of the impulse and step responses is very similar to the classic. The main difference lies in the substitution of the exponential by the Mittag-Leffler function. We will present also the main formulae defining the fractional derivatives. 2008-07-01T00:00:00Z