Fractional derivative order analysis and temperature-dependent properties on p- and SV-waves reflection under initial stress and three-phase-lag model

Abstract

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).