中文摘要：

该文利用不动点定理和一个新的方法,研究了分数阶微分方程非局部问题解的存在和唯一性,并且获得了两个新的结果.

英文摘要：

In this paper, by using the fixed point theorem and a new method, we study the existence and uniqueness of solutions for nonlocal Cauchy problem for fractional evolution equations with Caputo fractional derivative, and obtain two new results. Finally, to illustrate the theoretical results obtained, we give an example.