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

descriptionPublicationkeyboard_double_arrow_right Article , Journal , Other literature type 01 Jan 2013Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,013, pages 1-5 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Ai-Min Yang; Xiao-Jun Yang; Zheng-Biao Li;

doi: 10.1155/2013/351057

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

Abstract

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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Keywords

QA1-939, Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
57
Top 10%
Top 10%
Top 1%
gold
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