Repositório Colecção:
http://hdl.handle.net/10362/1700
2016-12-10T17:05:40ZOn the fractional central differences and derivatives
http://hdl.handle.net/10362/1718
Título: On the fractional central differences and derivatives
Autor: Ortigueira, M.D.
Resumo: 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.2008-04-01T00:00:00ZAn introduction to the fractional continuous-time linear systems
http://hdl.handle.net/10362/1717
Título: An introduction to the fractional continuous-time linear systems
Autor: Ortigueira, M.D.
Resumo: 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