This paper discusses a boundary value problem of nonlinear fractional integrodifferential equations of order and and boundary conditions of the form . Some new existence and uniqueness results are proposed by using the fixed point theory. In particular, we make use of the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem under some weak conditions. Moreover, two illustrative examples are studied to support the results.

中文翻译：

---

非线性分数阶积分微分方程的新存在性结果

本文讨论了非线性分数阶积分微分方程的边值问题 和 形式的边界条件 。利用定点理论提出了一些新的存在性和唯一性结果。特别是，我们在某些弱条件下利用了Banach压缩映射原理和Krasnoselskii不动点定理。此外，研究了两个说明性示例以支持结果。