The Local Fractional Derivative of Fractal Curves

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Nov 2008Publisher:IEEEJournal:2008 IEEE International Conference on Signal Image Technology and Internet Based Systems

Authors: Hicham Bensoudane; Christian Gentil; Marc Neveu;

doi: 10.1109/sitis.2008.37

The Local Fractional Derivative of Fractal Curves

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Abstract

Fractal curves described by iterated function system (IFS) are generally non-integer derivative. For that we use fractional derivative to investigate differentiability of this curves. We propose a method to calculate local fractional derivative of a curve from IFS property. Also we give some examples of IFS representing the slopes of the right and left half-tangent of the fractal curves.

Related Organizations

University of Burgundy
France
UNIVERSITE BOURGOGNE EUROPE
France

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