Application of local fractional series expansion method to solve Klein-Gordon equations on cantor sets

Abstract

We use the local fractional series expansion method to solve the Klein-Gordon equations on Cantor sets within the local fractional derivatives. The analytical solutions within the nondifferential terms are discussed. The obtained results show the simplicity and efficiency of the present technique with application to the problems of the liner differential equations on Cantor sets. © 2014 Ai-Min Yang et al.