Journal
ADVANCES IN MATHEMATICAL PHYSICS
Volume 2013, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2013/754248
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Funding
- National Natural Science Foundation of China [11102181]
- Natural Science Foundation of Hebei Province [A2012203117]
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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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