Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms

J. A. Tenreiro Machado, Alexandra M. Galhano, Anabela M. Oliveira, József K. Tar

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

This study addresses the optimization of rational fraction approximations for the discrete-time calculation of fractional derivatives. The article starts by analyzing the standard techniques based on Taylor series and Padé expansions. In a second phase the paper re-evaluates the problem in an optimization perspective by tacking advantage of the flexibility of the genetic algorithms.

Original languageEnglish
Pages (from-to)482-490
Number of pages9
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number3
DOIs
Publication statusPublished - Mar 1 2010

Keywords

  • Fractional calculus
  • Fractional derivatives
  • Genetic algorithms
  • Optimization

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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