摘要
建立了Feller算子Dθα下的空间分数阶反常扩散方程,给出分数阶扩散方程Canchy问题的求解定理,借助定理、Fourier变换及伽利略变换不变性得到问题的精确解,并当α→2即θ→0时,问题的解与相应经典整数阶扩散(对流–扩散)方程的解一致.
The author discusses the anomalous diffusion equation with fractional Feller's operator, and gets it's analytical solution by means of Fourier transform. When α→2,θ→0, the analytical solution just coincides with that of the classical diffusion (advection -diffusion) equation.
出处
《临沂师范学院学报》
2008年第6期14-17,共4页
Journal of Linyi Teachers' College