Laplace transform series expansion method for solving the local fractional heat transfer equation defined on cantor sets
Heat and mass transfer via local fractional calculus [1] is one of important problems for complex phenomena in applied science. The lots of the local fractional partial differential equations were proposed in fractal heat and mass transfer, such as the heat conduction [2 4] heat transfer [5] Laplace and Poisson [6] and oscillator [7] equations. In this paper, we now consider the local fractional heat transfer equation defined on Cantor sets [5]