一类时间分数阶延迟微分方程的数值解法

A Numerical Method for Solving a Class of Time Fractional Delay Differential Equation

给出了求解一类时间分数阶时滞微分方程的数值解法,将传统对时间的一阶导数利用分数阶导数α(0<α<1)阶导数代替,给出了求解微分方程的差分格式,并对差分格式证明了收敛性和稳定性,数值算例检验该格式解决此类方程是有效的.

A numerical method is gived to solve one time fractional delay differential equation,the fractional derivative, order of α（0〈α〈1） ,is used to instead of first derivative,then we give a difference scheme and prove that the difference schemes are stable and convergence. Numerical example shows that the numerical method is a practical method.