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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

On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets