Calculation of fractional derivatives of noisy data with genetic algorithms

Machado, J. A. Tenreiro2014-04-042014-04-0420090924-090X1573-269Xhttp://hdl.handle.net/10400.22/4314This 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.engFractional derivativesFractional calculusGenetic algorithmsNumerical differentiationCalculation of fractional derivatives of noisy data with genetic algorithmsjournal article10.1007/s11071-008-9436-1