The Fox function expression and the analytic expression for the concentration distribution of fractional anomalous diffusion caused by an instantaneous point source in n_dimensional space(n=1,2 or 3)are derived by means of the condition of mass conservation,the time_space similarity of the solution,Mellin transform and the properties of the Fox function.
利用质量守恒条件、解的时空相似性、Mellin变换以及Fox函数理论,给出n维空间中(n=1,2,3)瞬时点源分数阶超常扩散浓度分布的Fox函数表示及解析表达式,并讨论其渐近性质·
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.
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 ,给出其解的解析表达式和渐近性