Abstract In this article, we study the existence and uniqueness of solutions for nonlinear fractional integro-differential equations with nonlocal Erdélyi-Kober type integral boundary conditions. The existence results are based on Krasnoselskii’s and Schaefer’s fixed point theorems, whereas the uniqueness result is based on the contraction mapping principle. Examples illustrating the applicability of our main results are also constructed.

中文翻译：

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具有非局部 Erdélyi-Kober 型积分边界条件的分数阶积分微分方程分析

摘要 在本文中，我们研究了具有非局部 Erdélyi-Kober 型积分边界条件的非线性分数阶积分微分方程解的存在唯一性。存在性结果基于 Krasnoselskii 和 Schaefer 不动点定理，而唯一性结果基于收缩映射原理。还构建了说明我们主要结果的适用性的示例。