In this paper, conformable fractional resonant Schrödinger equation is studied. A new auxiliary equation approach is implemented to derive the solutions to the governing equation. Fractional complex traveling wave transform and homogeneous balance technique are the key procedures to implement the method. The predicted solution are set in finite series form of some functions satisfying an ODE of first order second degree. Many kinds of solutions covering exponential, hyperbolic and trigonometric functions are derived based on the suggested method.

中文翻译：

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推导分数共振薛定谔方程解的新辅助方程方法

本文研究了适形分数共振薛定谔方程。实施了一种新的辅助方程方法来推导出控制方程的解。分数复行波变换和均匀平衡技术是实现该方法的关键步骤。预测解被设置为一些满足一阶二阶 ODE 的函数的有限级数形式。基于所建议的方法，可以导出涵盖指数函数、双曲线函数和三角函数的多种解。