This paper concerns with a class of fractional integro-differential equations in the space of continuous functions which defined on interval \( \left[ 0,a\right] \) and take values in a Banach space E. Using a generalized Darbo fixed-point theorem associated with measure of noncompactness, the existence of solutions has been established. Also an example which shows that the main result is applicable is given.

中文翻译：

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抽象空间中某些分数阶积分微分方程的可解性的结果

本文涉及在间隔\（\ left [0，a \ right] \）上定义并在Banach空间E中取值的连续函数空间中的一类分数阶积分微分方程。使用与非紧致性度量相关的广义Darbo不动点定理，已经确定了解的存在性。还给出了一个表明主要结果适用的例子。