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Calculation of fractional derivatives of noisy data with genetic algorithms

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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.

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Fractional derivatives Fractional calculus Genetic algorithms Numerical differentiation

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Springer

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