区间值分数阶时滞微分方程解的存在性与唯一性

Existence and Uniqueness of Solutions for Interval-valued Fractional Differential Equations with Time Delay

通过分析分数阶时滞微积分方程理论与区间值函数,研究了区间值一阶分数阶时滞微积分方程的性质及其应用。通过运用Banach不动点定理,探究在特定条件下区间值分数阶时滞微积分方程的关系,证得区间值Caputo一阶分数阶时滞微分方程解的存在性与唯一性。

The properties and applications of a class of interval-valued fractional integro-differential equations with time delay were studied by analyzing the theory of fractional integro-differential equations with time delay and the interval-valued functions. The existence and uniqueness of solutions for a class of Caputo intervalvalued fractional differential equations with time delay was derived by applying the Banach fixed point theorem and exploring the relationship of the interval-valued fractional integro-differential equations with time delay under certain conditions.