Yang, Xiao-JunZhang, Zhi-ZhenMachado, J. A. TenreiroBaleanu, Dumitru2017-01-252017-01-252016http://hdl.handle.net/10400.22/9415This paper treats the description of non-differentiable dynamics occurring in complex systems governed by local fractional partial differential equations. The exact solutions of diffusion and relaxation equations with Mittag-Leffler and exponential decay defined on Cantor sets are calculated. Comparative results with other versions of the local fractional derivatives are discussed.engcomplex systemsDiffusion equationRelaxation equationLocal fractional derivativeCantor setOn local fractional operators view of computational complexityDiffusion and Relaxation Defined on Cantor Setsjournal article10.2298/TSCI16S3723Z