TY - JOUR
TI - On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets
AU - Yang Xiao-Jun
AU - Zhang Zhi-Zhen
AU - Machado J. A. Tenreiro
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2016
VL - 20
IS - 13
SP - 755
EP - 767
PT - Article
AB - 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.