Local Fractional Derivatives and Fractal Functions of Several Variables
Mathematical Physics
2008-11-06 v1 math.MP
Abstract
The notion of a local fractional derivative (LFD) was introduced recently for functions of a single variable. LFD was shown to be useful in studying fractional differentiability properties of fractal and multifractal functions. It was demonstrated that the local Holder exponent/ dimension was directly related to the maximum order for which LFD existed. We have extended this definition to directional-LFD for functions of many variables and demonstrated its utility with the help of simple examples.
Keywords
Cite
@article{arxiv.physics/9801010,
title = {Local Fractional Derivatives and Fractal Functions of Several Variables},
author = {Kiran M. Kolwankar and Anil D. Gangal},
journal= {arXiv preprint arXiv:physics/9801010},
year = {2008}
}
Comments
4 pages, Revtex, appeared in proceedings of 'Fractals in Engineering' Arcachon, France (1997)