Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 263, Issue 2, Pages 721-737Publisher
ACADEMIC PRESS INC
DOI: 10.1006/jmaa.2001.7656
Keywords
fractional calculus; Riemann-Liouville fractional operators; irregular functions
Categories
Ask authors/readers for more resources
We develop the notion of local fractional derivative introduced by Kolvankar and Gangal. It allows a fine study of the local structure of irregular (fractal) functions. Using this tool, we extend classical theorems of analysis (extrema, Rolle) to non-differentiable functions. In particular, we prove a generalized Taylor expansion theorem. We introduce a new derivative of real order and discuss its properties. (C) 2001 Academic Press.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available