On calculus of local fractional derivatives
type: Item
instance of: scholarly article
title: On calculus of local fractional derivatives
zbMATH Open document ID: 1005.26002
DOI: 10.1016/S0022-247X(02)00048-3
author: Varsha Daftardar-Gejji
author: Azizollah Babakhani
published in: Journal of Mathematical Analysis and Applications
publication date: 2002-09-17T00:00:00Z
review text: \textit{K. M. Kolwankar} and \textit{A. D. Gangal} [``Fractional differentiability of nowhere differentiable functions and dimensions'', Chaos 6, No.~4, 505-513 (1996; Zbl 1055.26504)] introduced a certain ``localization'' \(d^\alpha f(x)\) of the Riemann-Liouville fractional derivative to study the local behaviour of nowhere differentiable functions (see reviewer's remark on this notion in the review in Zbl to the paper by \textit{F. Ben Adda} and \textit{J. Cresson} [``About non-differentiable functions'', J. Math Anal. Appl. 263, No. 2, 721-737 (2001; Zbl 0995.26006)]). The authors study some properties of this ``localization'', such as the Leibniz rule for the product, the chain rule and others.
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1801632
zbMATH Keywords: fractional derivatives
zbMATH Keywords: fractional integrals
reviewed by: S. G. Samko
MaRDI profile type: Publication
cites work: Q3864730
cites work: Q4233638
cites work: Q3995292
cites work: Fractional differentiability of nowhere differentiable functions and dimensions
cites work: The Fokker-Planck equation. Methods of solution and applications
full work available at URL: s0022-247x(02)00048-3
OpenAlex ID: W2072871872
description: scientific article; zbMATH DE number 1801632