TY - JOUR TI - A local fractional derivative with applications to fractal relaxation and diffusion phenomena AU - Zhao Yang AU - Cai Yan-Guang AU - Yang Xiao-Jun JN - Thermal Science PY - 2016 VL - 20 IS - 13 SP - 723 EP - 727 PT - Article AB - In this paper, a new application of the fractal complex transform via a local fractional derivative is presented. The solution for the fractal relaxation and time-fractal diffusion equations are obtained based on the sup-exponential functions defined on Cantor sets.