By applying the standard fixed point theorems, we prove the existence and uniqueness results for a system of coupled differential equations involving both left Caputo and right Riemann-Liouville fractional derivatives and mixed fractional integrals, supplemented with nonlocal coupled fractional integral boundary conditions. An example is also constructed for the illustration of the obtained results.

中文翻译：

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一个包含混合分数阶导数和不同阶积分的耦合积分微分系统

通过应用标准不动点定理，我们证明了一个包含左卡普托和右黎曼-刘维尔分数阶导数和混合分数积分的耦合微分方程系统的存在性和唯一性结果，并辅以非局部耦合分数积分边界条件。还构建了一个示例来说明所获得的结果。