This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam–Hyers stability results for the addressed problem. Further, an example illustrate our acquired results.

中文翻译：

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非线性中立广义Caputo分数阶微分方程的存在性结果。

本文致力于证明一类具有广义Riemann-Liouville积分边界条件的非线性中立广义Caputo分数阶微分方程的一类边值问题解的存在性和唯一性。我们应用了各种各样的不动点定理，例如Krasnoselskii和Banach。我们还针对所解决的问题建立了Ulam-Hyers稳定性结果。此外，一个示例说明了我们获得的结果。