一类时间分数阶扩散方程及其差分问题的研究

Study on a Class of Fractional Diffusion Equations and their Difference Problems

主要利用分离变量法和Yurii Luchko与Rudolf Gorenflo在文[1]中的定理研究一类时间分数阶扩散方程初边值问题解的存在性,用L1差值逼近法将微分方程化为差分形式,并研究了差分形式的相关性质.

In this paper,the existence of solutions to the initial boundary value problem for a class of time fractional diffusion equations is studied by using the method of separated variables and the theorem of Yurii Luchko and Rudolf Gorenflo in[1].The L1 difference approximation method converts the differential equation into the difference form,and studies the phase of the difference form.