In this paper, we study a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo fractional derivatives. Under flexible/fixed end-conditions, two main theorems on the existence and uniqueness of solutions are proved by using two fixed point theorems. Some examples are discussed to illustrate the applications of the existence and uniqueness of solution results. Another main result on the Ulam–Hyers stability of solutions for the introduced system is also discussed. Some examples of stability are discussed. New travelling wave solutions are obtained for another conformable coupled system of beam type that has a connection with the first considered system. A conclusion follows at the end.

在本文中，我们研究了梁偏转类型的耦合系统，该系统涉及具有序贯卡普托分数阶导数的非线性方程。在灵活/固定终止条件下，利用两个不动点定理证明了解的存在性和唯一性的两个主要定理。讨论了一些例子来说明解结果的存在性和唯一性的应用。还讨论了所引入系统的解的 Ulam-Hyers 稳定性的另一个主要结果。讨论了稳定性的一些例子。对于与第一个考虑的系统有连接的另一个梁类型的顺应耦合系统，获得了新的行波解。最后得出结论。