一类时间分数非线性对流—扩散方程的Adomian解法

Adonian Decomposition Method of the Rime Fractional Nonlinear Convection-diffusion Equation

文章在分形介质中建立了一类Caputo意义下的含有外力和吸附效应的时间分数阶非线性对流——扩散方程.并利用Adomian分解方法给出了该方程满足初始条件的以无穷级数形式表示的解.

We consider the fractional nonlinear convection-diffusion equation with extermal force and absorption in finite fractal media based on the Caputo fractional derivative. We derive a xolution in the form of a series by usyng Adomian decomposition method.