分形集上基于延迟矩阵指数的一类时滞微分方程解的表示

Representation of Solutions for a Class of Delay Differential Equations via Delayed Matrix Exponential on Fractal Sets

根据局部分数阶积分理论,在分形集R^(nα)(0<α≤1)上构造延迟矩阵指数和Mittag-Leffler型矩阵指数函数,利用常数变易法得到一类时滞微分方程解的表示。

Based on local fractional integral theory,the delay matrix exponential function and Mittag-Leffler type matrix exponential function are constructed on the fractal sets R^(nα)(0<α≤1),then the explicit formula of solutions for a class of delay differential equations are expressed by using the variation of constants method.