中文摘要：

讨论Banach空间E中具有非局部初始条件的分数阶积分-微分方程解的存在性．在较弱的非紧性测度条件与增长条件下，利用新的非紧性测度估计技巧与凸幂凝聚算子不动点定理获得了所研究问题解的存在性结果．

英文摘要：

The existence of solutions for fractional integral-differential equations with nonlocal initial conditions was discussed. Under more general conditions of non-compact measure and growth, the existence result of solutions were obtained by utilizing a new estimation technique for the measure of noncompactness and a new fixed point theorem with respect to convex power condensing operator.