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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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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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Complex Systems, Diffusion Equation, Relaxation Equation, Local Fractional Derivative, Cantor Set

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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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Termal Science

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20

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S755

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S767