In this paper, we establish sufficient criteria for ensuring the existence of solutions and uniqueness for a class of nonlinear neutral Caputo fractional differential equations supplemented with infinite delay and nonlocal boundary conditions involving fractional derivatives. The theory of infinite delay and standard fixed point theorems are employed to obtain the existence results for the given problem. Examples will be constructed to illustrate the obtained results.

中文翻译：

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具有无限延迟和非局部边界条件的分数阶中性泛函微分方程的存在性结果

在本文中，我们建立了足够的标准来确保一类非线性中性 Caputo 分数阶微分方程解的存在性和唯一性，并补充了无限延迟和涉及分数阶导数的非局部边界条件。利用无限延迟理论和标准不动点定理来获得给定问题的存在性结果。将构造示例来说明所获得的结果。