The analytical solutions for the diffusion equations on Cantor sets with the nondifferentiable terms are discussed by using the local fractional functional method, which is a coupling method for local fractional Fourier series and Laplace transform.
Yuan Cao. Wei-Gang Ma. Lian-Chuan Ma. "Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets." Abstr. Appl. Anal. 2014 (SI04) 1 - 6, 2014. https://doi.org/10.1155/2014/803693