In the present article, the generalized thermoelastic wave model with and without energy dissipation under fractional time derivative is used to study the physical field in porous two-dimensional media. By applying the Fourier-Laplace transforms and eigenvalues scheme, the physical quantities are presented analytically. The surface is shocked by heating (pulsed heat flow problem) and application of free traction on its outer surface (mechanical conditions) by the process of temperature transport (diffusion) to observe the full analytical solutions of the main physical fields. The magnesium (Mg) material is used to make the simulations and obtain numerical outcomes. The basic physical field quantities are graphed and discussed. Comparisons are made in the results obtained under the strong (SC), the weak (WC) and the normal (NC) conductivities.

中文翻译：

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分数时间导数对脉冲热流对二维多孔材料的影响

本文采用分数时间导数下带或不带能量耗散的广义热弹性波模型，研究了多孔二维介质中的物理场。通过应用傅里叶-拉普拉斯变换和特征值方案，可以对物理量进行解析地表示。通过加热（脉冲热流问题）以及通过温度传输（扩散）过程在其外表面施加自由牵引（机械条件）来震惊表面，以观察主要物理场的完整解析解。镁（Mg）材料用于进行模拟并获得数值结果。对基本物理场量进行了图示和讨论。比较在强（SC），弱（WC）和正常（NC）电导率下获得的结果。