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

TitleOptimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms
Publication TypeJournal Article
Year of Publication2010
AuthorsMachado, T. J., A. M. S. F. Galhano, A. M. Oliveira, and J. K. Tar
JournalCOMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume15
Issue3
Pagination482 - 490
Date Published2010
Publication Languageeng
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 Pade 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. (C) 2009 Elsevier B.V. All rights reserved.