THERMAL SCIENCE

International Scientific Journal

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
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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