Abstract
The memory-dependent derivative (MDD) theory is utilized in this study to provide a mathematical model of thermo-electromagnetic waves from a thermoelectric half-space with changeable material qualities. The medium has a uniform magnetic field, and the half-space boundary plane is devoid of traction and sensitive to time-dependent thermal shock. The issue has been addressed analytically in the transformed domain using the Laplace transform and the perturbation approach. The inverse transformations are quantitatively calculated using Fourier expansion methods. The numerical findings for temperature, displacement and stress distributions are reported and visually depicted. Correlations are drawn between the outcomes of various situation.