Geodesic
Solving the $(1+n)$-dimensional fractional Burgers equation by natural decomposition method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 4, pp. 441-455

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In this paper, we extend the natural transform combined with the Adomian decomposition method for solving nonlinear partial differential equations with time-fractional derivatives. We apply the proposed method to obtain approximate analytical solutions of the $(1+n)$-dimensional fractional Burgers equation. Some illustrative examples are given, which reveal that this is a very efficient and accurate analytical method for solving nonlinear fractional partial differential equations. 
@article{SJVM_2020_23_4_a6,
     author = {M. Cherif and D. Ziane and A. K. Alomari and K. Belghaba},
     title = {Solving the $(1+n)$-dimensional fractional {Burgers} equation by natural decomposition method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {441--455},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2020_23_4_a6/}
}
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M. Cherif; D. Ziane; A. K. Alomari; K. Belghaba. Solving the $(1+n)$-dimensional fractional Burgers equation by natural decomposition method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 4, pp. 441-455. http://geodesic.mathdoc.fr/item/SJVM_2020_23_4_a6/