Nonlinear Dynamics

, Volume 57, Issue 1–2, pp 253–260 | Cite as

Calculation of fractional derivatives of noisy data with genetic algorithms

  • J. A. Tenreiro Machado
Original Paper


This paper addresses the calculation of derivatives of fractional order for non-smooth data. The noise is avoided by adopting an optimization formulation using genetic algorithms (GA). Given the flexibility of the evolutionary schemes, a hierarchical GA composed by a series of two GAs, each one with a distinct fitness function, is established.


Fractional derivatives Fractional calculus Genetic algorithms Numerical differentiation 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Department of Electrical EngineeringInstitute of Engineering of PortoPortoPortugal

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