2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173338The 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.4 pages, Revtex, appeared in proceedings of 'Fractals in Engineering' Arcachon, France (1997)Mathematical Physicstext