Conclusion

In the context of this paper, a modified fractional model with a dual-phase-lag and two parameters \(\alpha,\ \beta\) (2FDPL) is introduced. In the limited cases, the proposed model reduces to various classical, generalized and fractional thermoelasticity models (CTE, LS, DPL and SFLS). According to this new model, the distributions of the physical quantities for a half-plane (\(x>0\)) are discussed. Numerical simulation results yield the following conclusions: