期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2011
卷号：2011
DOI：10.1155/2011/237045
出版社：Hindawi Publishing Corporation
摘要：The analytical solution of the foam drainage equation with time- and space-fractional derivatives was derived by means of the homotopy
analysis method (HAM). The fractional derivatives are described in the Caputo sense. Some examples are given and comparisons are made; the comparisons
show that the homotopy analysis method is very effective and convenient. By choosing different values of the parameters 𝛼,𝛽 in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained.
