Theory Analysis of Left-Handed Grünwald-Letnikov Formula with 0<α<1 to Detect and Locate Singularities
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study fractional-order derivatives of left-handed Grünwald-Letnikov formula with 0<α<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<α<1 can detect and locate four types of ideal singularities correctly, which shows better performance than classical 1-order derivatives in theory.
American Psychological Association (APA)
Hu, Shaoxiang& Liang, Ping. 2014. Theory Analysis of Left-Handed Grünwald-Letnikov Formula with 0<α<1 to Detect and Locate Singularities. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033558
Modern Language Association (MLA)
Hu, Shaoxiang& Liang, Ping. Theory Analysis of Left-Handed Grünwald-Letnikov Formula with 0<α<1 to Detect and Locate Singularities. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033558
American Medical Association (AMA)
Hu, Shaoxiang& Liang, Ping. Theory Analysis of Left-Handed Grünwald-Letnikov Formula with 0<α<1 to Detect and Locate Singularities. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033558
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033558