A local fractional derivative with applications to fractal relaxation and diffusion phenomena

In this paper, a new application of the fractal complex transform via a local fractional derivative is presented. The solution for the fractal relaxation and time-fractal diffusion equations are obtained based on the sup-exponential functions defined on Cantor sets.

Bibliographic Details
Main Authors: Zhao Yang, Cai Yan-Guang, Yang Xiao-Jun
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2016-01-01
Series:Thermal Science
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616723Z .pdf