Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets

Yuan Cao; Wei-Gang Ma; Lian-Chuan Ma

doi:10.1155/2014/803693

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2014 Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets

Yuan Cao, Wei-Gang Ma, Lian-Chuan Ma

Abstr. Appl. Anal. 2014(SI04): 1-6 (2014). DOI: 10.1155/2014/803693

Abstract

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.

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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