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

Ya-Juan Hao | Zendy; H. M. Srivastava | Zendy; Hossein Jafari | Zendy; XiaoJun Yang | Zendy

Open Access

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

Author(s) -

Ya-Juan Hao,

H. M. Srivastava,

Hossein Jafari,

XiaoJun Yang

Publication year - 2013

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2013/754248

Subject(s) - mathematics , type (biology) , mathematical analysis , helmholtz free energy , fractional calculus , diffusion , helmholtz equation , pure mathematics , physics , ecology , quantum mechanics , biology , boundary value problem , thermodynamics

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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