A New Fractional Derivative Involving the Normalized Sinc Function Without Singular Kernel
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Heidelberg
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
7
OpenAIRE Views
1
Publicly Funded
No
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Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%
Abstract
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.
Description
Yang, Xiao-Jun/0000-0003-0009-4599
ORCID
Keywords
Singular kernel, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Fractional derivative
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Yang, Xiao-Jun...et al. (2017). "A new fractional derivative involving the normalized sinc function without singular kernel", Europan Physical Journal Special-Topic, Vol.226, No.16-18, pp.3567-3575.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
102
Source
The European Physical Journal Special Topics
Volume
226
Issue
16-18
Start Page
3567
End Page
3575
PlumX Metrics
Citations
CrossRef : 62
Scopus : 106
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Mendeley Readers : 7
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