具无穷时滞的分数阶泛函微分方程可积解的存在性

Existence of Integrable Solutions to Fractional Order Functional Differential Equations with Infinite Delays

本文讨论了一类具有无穷时滞的非线性分数阶泛函微分方程的初值问题,利用Banach不动点定理与Schauder不动点定理分别获得解的存在性条件,并推广了有关文献中的结果。

In this paper, we discuss the initial value problem of a class of nonlinear fractional-order differential equations with infinite delays. By applying the Banach fixed point theorem and Schauder fixed point theorem, we obtain the existence conditions of solutions for such equations, which extend the corresponding ones in current literatures.