| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1859256 | Physics Letters A | 2013 | 5 Pages |
Abstract
•A novel Cantor-type cylindrical-coordinate method is first proposed.•Differential equations are converted to Cantor-type cylindrical-coordinate systems.•Heat-conduction and damped wave equations are analyzed.
In this Letter, we propose to use the Cantor-type cylindrical-coordinate method in order to investigate a family of local fractional differential operators on Cantor sets. Some testing examples are given to illustrate the capability of the proposed method for the heat-conduction equation on a Cantor set and the damped wave equation in fractal strings. It is seen to be a powerful tool to convert differential equations on Cantor sets from Cantorian-coordinate systems to Cantor-type cylindrical-coordinate systems.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Xiao-Jun Yang, H.M. Srivastava, Ji-Huan He, Dumitru Baleanu,