THERMAL SCIENCE

International Scientific Journal

Xiao-Jun Yang

,

Zhi-Zhen Zhang

,

J. A. Tenreiro Machado

,

Dumitru Baleanu

ON LOCAL FRACTIONAL OPERATORS VIEW OF COMPUTATIONAL COMPLEXITY: DIFFUSION AND RELAXATION DEFINED ON CANTOR SETS

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.
KEYWORDS
complex systems, diffusion equation, relaxation equation, local fractional derivative, Cantor set
PAPER SUBMITTED: 2015-12-21
PAPER REVISED: 2016-01-05
PAPER ACCEPTED: 2016-01-27
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3755Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S755 - S767]
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On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets

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