一种时间分数阶扩散方程的初边值问题

摘要

讨论了一种时间分数阶扩散方程的初边值问题。首先利用分离变量法求出了方程的解，然后借助于拉普拉斯变换讨论了方程的强解、连续性和正则性等性质。%In this paper,the author studies a problem with initial-boundary value of diffusion e-quation of time-fractional order,by first obtaining the solution of the equation with the method of separation of variables,and then discussing the strong solution,continuity and regularity of the equation with the help of Laplasse transform.