期刊
CHAOS SOLITONS & FRACTALS
卷 28, 期 4, 页码 930-937出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2005.09.002
关键词
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Non-perturbative analytical solutions for the generalized Burgers equation with time- and space-fractional derivatives of order alpha and beta, 0 < alpha, beta <= 1, are derived using Adomian decomposition method. The fractional derivatives are considered in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers equation to show the nature of solution as the fractional derivative parameter is changed. (c) 2005 Elsevier Ltd. All rights reserved.
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