三维空间瞬时点源超常扩散模型的解

THE SOLUTION OF ANOMALOUS DIFFUSION MODEL WITH FRACTIONAL ORDER CAUSED BY AN INSTANTANEOUS POINT SOURCE IN 3-DIMENSIONAL SPACE

利用解的时空相似性、质量守恒条件、Mellin变换以及Fox函数理论 ,对于三维空间中瞬时点源引起的分数阶超常扩散模型 。

The analytic expression and the asymptotic properties for the concentration distribution of the anomalous diffusion with fractional order caused by a instantaneous point source in 3-dimmentional space are obtained by means of the time-space similarity for the solution,the law of conservation of mass,Mellin transform and the properties of Fox functions.