This paper is concerned with the existence and uniqueness of solutions for a nonlinear fractional-order coupled system involving Caputo fractional derivatives of different orders equipped with a new kind of coupled boundary conditions. We transform the given system into an equivalent fixed point problem and solve it by applying the standard fixed point theorems. Examples are constructed for the illustration of the obtained results.

中文翻译：

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具有新型耦合边界条件的包含Caputo分数阶导数的非线性耦合系统的存在性和唯一性结果

本文关注的是非线性分数阶耦合系统解的存在性和唯一性，该系统包含具有新的耦合边界条件的不同阶的Caputo分数阶导数。我们将给定系统转换为等效的不动点问题，并通过应用标准不动点定理来解决。举例说明所获得的结果。