In this paper, we discussed the longitudinal harmonic waves reflection from a solid elastic half-space with electromagnetic and gravity fields influence, considering a fractional order via fractional exponential function method. The clarifications are required for the reflection amplitudes ratios (i.e. the ratios between the reflected waves amplitude and the incident waves amplitude). The results obtained were calculated analytically and displayed by graphs to show the physical meaning of the phenomenon. A comparison has been made between the fractional and integer derivatives. The results of this paper demonstrate the rigor and effectiveness of the considered fractional technique.

中文翻译：

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重力和电磁场影响下热弹性 p 波反射的分数阶计算

在本文中，我们通过分数指数函数方法考虑分数阶，讨论了受电磁场和重力场影响的固体弹性半空间的纵谐波反射。需要对反射幅度比（即反射波幅度与入射波幅度之间的比率）进行说明。得到的结果经过分析计算并以图表的形式显示，以显示现象的物理意义。对分数导数和整数导数进行了比较。本文的结果证明了所考虑的分数技术的严谨性和有效性。