This paper is concerned with the solvability of coupled nonlinear fractional differential equations of different orders supplemented with nonlocal coupled boundary conditions on an arbitrary domain. The tools of the fixed point theory are applied to obtain the criteria ensuring the existence and uniqueness of solutions of the problem at hand. Examples illustrating the main results are presented.

中文翻译：

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具有非局部耦合边界条件的不同阶耦合非线性分数阶微分方程的存在性结果

本文研究了在任意域上辅以非局部耦合边界条件的不同阶耦合非线性分数阶微分方程的可解性。应用不动点理论的工具来获得确保手头问题解决方案的存在性和唯一性的标准。给出了说明主要结果的例子。