【摘要】 该文针对一类带有Caputo-Fabrizio分数阶算子的非线性刚性泛函微分方程初值问题，利用线性插值技巧离散Caputo-Fabrizio算子，结合求解常微分方程的数值方法，构造了求解该问题的Runge-Kutta方法，给出了在一定条件下方法的非线性稳定性结果.更多还原

【Abstract】 In order to solve the initial value problem for a class of nonlinear stiff functional differential equations with Caputo-Fabrizio fractional operators, the Runge-Kutta methods are constructed by discretized the Caputo-Fabrizio fractional operator using linear interpolation techniques and combined with numerical methods for solving ordinary differential equations. The nonlinear stability results of the methods are given under certain conditions.更多还原