This paper deals with the propagation of the plane wave in a nonlocal magneto-thermoelastic semiconductor solid with rotation. The fractional-order three-phase lag theory of thermoelasticity with two temperatures has been applied. When a longitudinal wave is incident on the surface z = 0, four types of reflected coupled longitudinal waves (the coupled longitudinal displacement wave, the coupled thermal wave, coupled carrier density wave, and coupled transverse displacement wave) are identified. The plane wave characteristics such as phase velocities, specific loss, attenuation coefficient, and penetration depth of various reflected waves are computed. The effects of two temperatures, non-local parameter, fractional order parameter, and Hall current on these wave characteristics are illustrated graphically with the use of MATLAB software.

中文翻译：

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具有霍尔效应和三相滞后分数阶传热的非局域半导体旋转介质中的​​平面波

本文讨论平面波在非局域磁热弹性半导体固体中的旋转传播。已经应用了具有两个温度的热弹性的分数阶三相滞后理论。当纵波入射到 z = 0 表面时，识别出四种反射耦合纵波（纵向位移耦合波、耦合热波、载流子密度耦合波和横向位移耦合波）。计算各种反射波的相速度、比损耗、衰减系数和穿透深度等平面波特性。使用 MATLAB 软件以图形方式说明了两个温度、非局部参数、分数阶参数和霍尔电流对这些波特性的影响。