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Title: On the fractional central differences and derivatives
Author: Ortigueira, M.D.
Keywords: Fractional central difference
fractional central derivative
generalized Cauchy derivative
Issue Date: Apr-2008
Publisher: Sage journals
Citation: Journal of Vibration and Control, 14(9–10): 1255–1266, 2008.
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.
Appears in Collections:FCT: CTS - Artigos em revista internacional com arbitragem científica

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