On Local Fractional Operators View of Computational Complexity Diffusion and Relaxation Defined on Cantor Sets
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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Vinca inst Nuclear Sci
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Top 10%
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Top 10%
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Top 10%
Abstract
This paper treats the description of non-differentiable dynamics occurring in complex systems governed by local fractional partial differential equations. The exact solutions of diffusion and relaxation equations with Mittag-Leffler and exponential decay defined on Cantor sets are calculated. Comparative results with other versions of the local fractional derivatives are discussed.
Description
Tenreiro Machado, J. A./0000-0003-4274-4879; Yang, Xiao-Jun/0000-0003-0009-4599
Keywords
Complex Systems, Diffusion Equation, Relaxation Equation, Local Fractional Derivative, Cantor Set
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Yang, Xiao-Jun...et al. (2016). "On Local Fractional Operators View of Computational Complexity Diffusion and Relaxation Defined on Cantor Sets", Vol. 20, pp. S755-S767.
WoS Q
Q4
Scopus Q
Q3
OpenCitations Citation Count
14
Source
Thermal Science
Volume
20
Issue
Start Page
S755
End Page
S767
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Citations
CrossRef : 9
Scopus : 15
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