Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates
Date
2013-07
Authors
Hao, Ya-Juan
Srivastava, H.M.
Jafari, Hossein
Yang, Xiao-Jun
Journal Title
Journal ISSN
Volume Title
Publisher
Advances in Mathematical Physics
Abstract
The main object of this paper is to investigate the Helmholtz and diffusion equations on the Cantor sets involving local fractional derivative operators. The Cantor-type cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. Two illustrative examples for the Helmholtz and diffusion equations on the Cantor sets are shown by making use of the Cantorian and Cantor-type cylindrical coordinates.
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Citation
Hao, Y. Srivastava, H.M., Jafari, H. & Yang, X. (2013). Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates. Advances in Mathematical Physics, 2013, 5 pages. http://dx.doi.org/10.1155/2013/754248