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ON LOCAL FRACTIONAL OPERATORS VIEW OF COMPUTATIONAL COMPLEXITY Diffusion and Relaxation Defined on Cantor Sets
Journal article   Open access  Peer reviewed

ON LOCAL FRACTIONAL OPERATORS VIEW OF COMPUTATIONAL COMPLEXITY Diffusion and Relaxation Defined on Cantor Sets

Xiao-Jun Yang, Zhi-Zhen Zhang, J. A. Tenreiro Machado and Dumitru Baleanu
Thermal science, Vol.20(suppl. 3), pp.S755-S767
01/01/2016
DOI: https://doi.org/10.2298/TSCI16S3755Y

Abstract

Physical Sciences Science & Technology Thermodynamics
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.
url
https://doi.org/10.2298/TSCI16S3755YView
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