On Local Fractional Operators View of Computational Complexity Diffusion and Relaxation Defined on Cantor Sets
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Date
2016
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Publisher
Vinca Inst
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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.
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Keywords
Complex Systems, Diffusion Equation, Relaxation Equation, Local Fractional Derivative, Cantor Set
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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.
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Source
Termal Science
Volume
20
Issue
Start Page
S755
End Page
S767