Thermoelastic response in skin tissue exposed to laser radiation via the Moore–Gibson–Thompson model containing higher-order memory-dependent derivatives

Abstract To mitigate the risks associated with laser radiation and heat loading, it is critical to understand the biothermal response of skin tissue. With this information, the medical community can develop safe, evidence-based treatments for a variety of skin conditions. In this study, the Moore–Gibson–Thompson concept with memory-dependent higher derivatives is used to develop a theoretical basis for biothermal analysis. Clarifying the biothermal responses of skin tissues to heat loading and laser radiation is the aim of this work. Estimating the efficiency of biothermal transfer in biological tissues and predicting the thermal reactions that take place in human skin are made simpler by the developed model. A one-dimensional skin layer is used to achieve the suggested model. Laplace transforms are used to provide the analytical outcomes for tissue temperature. The proposed model incorporates both the impact of the kernel function and the thermal damage. Additionally, to evaluate the accuracy of the suggested model, the resulting analytical outcomes are contrasted with recognized theories. The results demonstrate that the modified Moore–Gibson–Thomson biothermal transfer model forecasts reduced temperatures than the traditional Pennes model when the memory-dependent upper derivatives and the thermal relaxation time constant are added.