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On the (N+1)‐dimensional local fractional reduced differential transform method and its applications

Jian‐Gen Liu, Xiao‐Jun Yang, Yi‐Ying Feng, Ping Cui

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Source: Crossref

Published: May 31, 2020

DOI: 10.1002/mma.6577

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Source abstract

In this paper, we generalize the (N+1)‐dimensional local fractional reduced differential transform method (LFRDTM) within the local fractional derivative sense. First, we show some new properties, lemmas, theorems and corollariesfor the (N+1)‐dimensional LFRDTM. Second, these new properties, lemmas and theorems can be proved immediately after. Thirdly, we used two examples to state that this approach is efficient and simple to find numerical solutions to higher dimensional local fractional partial differential equations. Finally, we can be seen that this work can be looked as an extension of the prior work.

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