Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates

Autor: Ya-Juan Hao, H. M. Srivastava, Hossein Jafari, Xiao-Jun Yang
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2013/754248
Popis: 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.
Databáze: Directory of Open Access Journals
Externí odkaz: