摘要
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。
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.And the asymptotic behaviors for the solutions are also given.
出处
《应用数学和力学》
CSCD
北大核心
2003年第11期1151-1156,共6页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10272067)
教育部博士点基金资助项目(1999042211)
