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

By Hossein Jafari, Hassan Kamil Jassim, Seithuti Philemon Moshokoa, V. M. Ariyan, Fairouz Tchier. 2016

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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.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/612c536f3f1f780d146a2a310f599c114a5f69ca