Reduced differential transform method for partial differential equations within local fractional derivative operators

The non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in this article. The reduced differential transform method is considered in the local fractional operator sense. The four illustrative examples are given to show the efficiency a...

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Bibliographic Details
Published in:Advances in mechanical engineering 2016-04, Vol.8 (4), p.1
Main Authors: Jafari, Hossein, Jassim, Hassan K, Moshokoa, Seithuti P, Ariyan, Vernon M, Tchier, Fairouz
Format: Article
Language:English
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Colleges & universities
Mathematical analysis
Nonlinear differential equations
Nonlinear equations
Operators (mathematics)
Partial differential equations
Theorems
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Summary:The non-differentiable solution of the linear and non-linear partial differential equations on Cantor sets is implemented in this article. The reduced differential transform method is considered in the local fractional operator sense. The four illustrative examples are given to show the efficiency and accuracy features of the presented technique to solve local fractional partial differential equations.
ISSN:1687-8132
1687-8140
DOI:10.1177/1687814016633013