Cantor-Type Cylindrical-Coordinate Method for Differential Equations With Local Fractional Derivatives
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Top 1%
Influence
Top 1%
Popularity
Top 1%
Abstract
In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems. (c) 2013 Published by Elsevier B.V.
Description
Yang, Xiao-Jun/0000-0003-0009-4599; Srivastava, Hari M./0000-0002-9277-8092
Keywords
Heat-Conduction Equation, Damped Wave Equation, Local Fractional Derivatives, Cantor Set, Fractional derivatives and integrals, local fractional derivatives, Cantor set, damped wave equation, Fractional partial differential equations, heat-conduction equation
Fields of Science
0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
111
Source
Physics Letters A
Volume
377
Issue
28-30
Start Page
1696
End Page
1700
PlumX Metrics
Citations
CrossRef : 114
Scopus : 149
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Mendeley Readers : 10
SCOPUS™ Citations
155
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Web of Science™ Citations
148
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