A Fractional Linear System View of the Fractional Brownian Motion

Citation:
Ortigueira, MD, Batista AG.  2004.  A Fractional Linear System View of the Fractional Brownian Motion, December. Nonlinear Dynamics. 38:295–303., Number 1-4: Springer

Abstract:

A definition of the fractional Brownian motion based on the fractional differintegrator characteristics is proposed and studied. It is shown that the model enjoys the usually required properties. A discrete-time version based in the backward difference and in the bilinear transformation is considered. Some results are presented.

Notes:

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