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Fractional Linear Shift-Invariant Systems

  • Manuel Duarte Ortigueira
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 84)

Abstract

The applications of Fractional Calculus to physics and engineering are not recent: the beginning of the application to viscosity dates back to the thirties in the past century. During the last 20 years the application domains of fractional calculus increased significantly: seismic analysis (Koh and Kelly, 1990), dynamics of motor and premotor neurones of the oculomotor systems, viscous damping, electric fractal networks, fractional order sinusoidal oscillators and, more recently, control, and robotics. One of the areas where such can be verified is the Biomedical Engineering. The now classic fractional Brownian motion (fBm) modeling is an application of the fractional calculus. We define a fractional noise that is obtained through a fractional derivative of white noise. The fBm is an integral of the fractional noise.

Keywords

Impulse Response Fractional Derivative Fractional Calculus Partial Fraction Fractional Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Faculdade de Ciências/Tecnologia da UNLUNINOVA and DEECaparicaPortugal

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