The impact of the laser pulse is used to investigate the magneto-thermodifusion waves in the context of photo-thermoelasticity theory. The governing mathematical equations of the non-local excited semiconductor material are used according to the Caputo fractional derivative of the heat equation. The main equations are studied under the infuence of slowly magnetic feld when the interactions between holes and electrons have occurred. According to the electronic and thermoelastic deformations, the one-dimensional (1D), dimensionless main equations are used to describe the non-local case. In the closed form, the Laplace transform is used with initial conditions to formulate the main ordinary differential equations. The analytical solutions are obtained when some surface non-local semiconductor conditions are applied at the boundary to observe the physical felds. The inverse of the Laplace transform with Riemann-sum approximation is applied numerically to obtain the complete solutions. The simulation of wave propagation of the main felds with some comparisons is obtained graphically and discussed when the physical constants of semiconductor silicon (Si) material are used