We report on the existence and stability of mixed-gap vector surface solitons at the interface between a uniform medium and an optical lattice with fractional-order diffraction. Two components of these vector surface solitons arise from the semi-infinite and the first finite gaps of the optical lattices, respectively. It is found that the mixed-gap vector surface solitons can be stable in the nonlinear fractional Schrödinger equations. For some propagation constants of the first component, the stability domain of these vector surface solitons can also be widened by decreasing the Lévy index. Moreover, we also perform stability analysis on the vector surface solitons, and it is corroborated by the propagations of the perturbed vector surface solitons.

中文翻译：

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分数阶衍射的光学晶格中的矢量表面孤子

我们报告了在均匀介质和具有分数阶衍射的光学晶格之间的界面上混合间隙矢量表面孤子的存在和稳定性。这些矢量表面孤子的两个分量分别来自光学晶格的半无限间隙和第一有限间隙。发现混合间隙矢量表面孤子在非线性分数阶Schrödinger方程中是稳定的。对于第一分量的某些传播常数，也可以通过降低Lévy指数来加宽这些矢量表面孤子的稳定性域。此外，我们还对矢量表面孤子进行了稳定性分析，它被扰动的矢量表面孤子的传播所证实。