Abstract
•We examind the fractional order effect to show the impact of temperature-dependent properties and primary stress on the reflecting plane and secondary vertically waves (P- and SV-waves) using the three-phase-lag model (THPL). The boundary conditions have been applied taking into account the mechanical stresses and temperature-dependence agree with the physical meaning of the reflection phenomenon.•A comparison between analytical integer and fractional solutions for the problem was made to get the solution included in the fractional orders.•We analyzed the findings and presented them graphically to illustrate the physical meaning of the issue under study.
The paper primarily aims to examine the fractional effect and explore the impact of temperature-dependent properties and primary stress on reflecting plane and secondary vertically waves using the three-phase-lag model (THPL). Its problem has been formulated by neglecting the body force and external heat source and having initial stress and temperature-dependent under THPL theory in its fractional form (conformable fractional derivatives). The boundary conditions were applied taking into account mechanical stresses and temperature-dependence. A comparison between analytical and fractional solutions for the problem was made to get the solution included in the fractional orders. The authors analyzed the findings. They presented the findings graphically to illustrate the physical meaning of the issue under study. If the problem considered is in integer form, we strongly included that the results obtained agree with the results obtained by Abo-Dahab et al. (2020).