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

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dc.contributor.authorHao, Ya-Juan
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorJafari, Hossein
dc.contributor.authorYang, Xiao-Jun
dc.date.accessioned2017-10-10T21:16:26Z
dc.date.available2017-10-10T21:16:26Z
dc.date.copyright2013en_US
dc.date.issued2013-07
dc.description.abstractThe 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis work was supported by National Natural Science Foundation of China (no. 11102181) and in part by Natural Science Foundation of Hebei Province (no. A2012203117).en_US
dc.identifier.citationHao, 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/10.1155/2013/754248en_US
dc.identifier.urihttp://dx.doi.org/10.1155/2013/754248
dc.identifier.urihttp://hdl.handle.net/1828/8669
dc.language.isoenen_US
dc.publisherAdvances in Mathematical Physicsen_US
dc.rightsAttribution 2.5 Canada*
dc.rights.urihttp://creativecommons.org/licenses/by/2.5/ca/*
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleHelmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinatesen_US
dc.typeArticleen_US

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