Abstract In this paper, we used Henstock–Kurzweil–Pettis integral instead of classical integrals. Using fixed point theorem and weak measure of noncompactness, we study the existence of weak solutions of boundary value problem for fractional integro-differential equations in Banach spaces. Our results generalize some known results. Finally, an example is given to demonstrate the feasibility of our conclusions.

中文翻译：

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通过 Henstock–Kurzweil–Pettis 积分求解分数阶微分方程的弱解

摘要 在本文中，我们使用 Henstock-Kurzweil-Pettis 积分代替经典积分。利用不动点定理和非紧性弱测度，我们研究了Banach空间中分数阶积分微分方程边值问题弱解的存在性。我们的结果概括了一些已知的结果。最后，给出一个例子来证明我们结论的可行性。