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

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...

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Veröffentlicht in:Mathematical methods in the applied sciences 2020-10, Vol.43 (15), p.8856-8866
Hauptverfasser: Liu, Jian‐Gen, Yang, Xiao‐Jun, Feng, Yi‐Ying, Cui, Ping
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Sprache:eng
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6577