On the local fractional derivative
type: Item
instance of: scholarly article
title: On the local fractional derivative
zbMATH Open document ID: 1196.26011
author: Yan Chen
author: Ying Yan
author: Kewei Zhang
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-11-30T00:00:00Z
review text: The authors focus on the right (left) local fractional derivatives defined by Kolwankar and Gangal (KG-LFD). They introduce more general but weaker notions of LFDs by using limits of certain integral averages of the difference-quotient. They establish a structural theorem which says that if both the right and left KG-LFDs exists a.e. in an interval, then they are both zero a.e. in this interval. They also make a partial extension of the one dimensional result to higher dimensional cases.
reviewed by: Tej Singh Nahar
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 5640352
zbMATH Keywords: lokal frational derivative
zbMATH Keywords: structure theorem
zbMATH Keywords: numerical approximation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.08.014
OpenAlex ID: W2016123172
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DOI: 10.1016/J.JMAA.2009.08.014
description: scientific article; zbMATH DE number 5640352