Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets | Zendy

Ai-Min Yang | Zendy; XiaoJun Yang | Zendy; Zheng-Biao Li | Zendy

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Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets

Author(s) -

Ai-Min Yang,

XiaoJun Yang,

Zheng-Biao Li

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/351057

Subject(s) - mathematics , series (stratigraphy) , mathematical analysis , fractional calculus , diffusion , anomalous diffusion , innovation diffusion , paleontology , knowledge management , physics , computer science , biology , thermodynamics

We proposed a local fractional series expansion method to solve the wave and diffusion equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives

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