Non-Local Integrals and Derivatives on Fractal Sets With Applications
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Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
de Gruyter Open Ltd
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this paper, we discuss non-local derivatives on fractal Cantor sets. The scaling properties are given for both local and non-local fractal derivatives. The local and non-local fractal differential equations are solved and compared. Related physical models are also suggested.
Description
Khalili Golmankhaneh, Alireza/0000-0002-5008-0163
Keywords
Fractal Calculus, Non-Local Fractal Derivatives, Scale Change, Cantor Set, Fractal Dimension, fractal dimension, non-local fractal derivatives, Physics, QC1-999, 05.45.df, FOS: Physical sciences, Mathematical Physics (math-ph), Mathematics - Classical Analysis and ODEs, fractal calculus, scale change, cantor set, 47.53.+n, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematical Physics
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Golmanknaneh, A.K., Baleanu, D. (2016). Non-local integrals and derivatives on fractal sets with applications. Open Physics, 14(1), 542-548. http://dx.doi.org/10.1515/phys-2016-0062
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
43
Source
Open Physics
Volume
14
Issue
1
Start Page
542
End Page
548
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CrossRef : 24
Scopus : 52
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SCOPUS™ Citations
54
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Web of Science™ Citations
52
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Page Views
7
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