Theory analysis of left-handed Grünwald-Letnikov formula with \(0 < \alpha < 1\) to detect and locate singularities
type: Item
instance of: scholarly article
title: Theory analysis of left-handed Grünwald-Letnikov formula with \(0 < \alpha < 1\) to detect and locate singularities
zbMATH Open document ID: 1470.26010
DOI: 10.1155/2014/157542
author: Shaoxiang Hu
author: Ping Liang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study fractional-order derivatives of left-handed Grünwald-Letnikov formula with \(0 < \alpha < 1\) to detect and locate singularities in theory. The widely used four types of ideal singularities are analyzed by deducing their fractional derivative formula. The local extrema of fractional derivatives are used to locate the singularities. Theory analysis indicates that fractional-order derivatives of left-handed Grünwald-Letnikov formula with \(0 < \alpha < 1\) can detect and locate four types of ideal singularities correctly, which shows better performance than classical 1-order derivatives in theory.
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7021830
Wikidata QID: Q59035594
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/157542
OpenAlex ID: W1978024990
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description: scientific article; zbMATH DE number 7021830