一类分数阶泛函微分方程初值问题解在L^1[0,1]上的存在性

Existence of Solution for the Cauthy Type Problems of Fractional Functional Differential Equations in L～1[0,1]

运用Darbo不动点定理,建立了一类分数阶泛函微分方程初值问题解在L1[0,1]中存在的充分条件,并通过具体的例子说明了研究结果的应用价值.

By employing Darbo fixed point theorem, a sufficient condition is established to guarantee the existence of solution for a class of initial value problems of fractional functional differential equations in L^1[0,1] space, an example is also included to illustrate the advantage of the result.