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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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 43; no. 15; pp. 8856 - 8866
Main Authors Liu, Jian‐Gen, Yang, Xiao‐Jun, Feng, Yi‐Ying, Cui, Ping
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.10.2020
Subjects
(N+1)‐dimensional LFRDTM
local fractional derivative
numerical solutions
Partial differential equations
Theorems
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Summary: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.
Bibliography:On the (N+1)‐dimensional local fractional RDTM and its applications.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6577