中文摘要：

主要利用不动点定理和逐步逼近法证明了一类分数阶延迟积分微分方程存在唯一解,并给出了一个例子说明了理论结果的正确性.

英文摘要：

The main purpose of this paper is to deal with the existence and uniqueness of solutions for a class of nonlinear fractional delay integro-differential equations.The results of existence and uniqueness of solutions are derived based on Banach fixed point theorem and successive approximations technique respectively.An example is also given to illustrate our theoretical results.