Local Fractional Derivatives and Fractal Functions of Several Variables
Kolwankar, Kiran M. ; Gangal, Anil D.
arXiv, 9801010 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-01-10
Classification:  Mathematical Physics 
@article{9801010,
     author = {Kolwankar, Kiran M. and Gangal, Anil D.},
     title = {Local Fractional Derivatives and Fractal Functions of Several Variables},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801010}
}

Kolwankar, Kiran M.; Gangal, Anil D. Local Fractional Derivatives and Fractal Functions of Several Variables. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9801010/