Theory Analysis of Left-Handed Grünwald-Letnikov Formula with to Detect and Locate Singularities

Shaoxiang Hu and Ping Liang

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

We study fractional-order derivatives of left-handed Grünwald-Letnikov formula with 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 can detect and locate four types of ideal singularities correctly, which shows better performance than classical 1-order derivatives in theory.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:157542

DOI: 10.1155/2014/157542

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