<p>This article introduces a novel mathematical framework derived from the refined Green–Lindsay generalized thermoelasticity theory, incorporating fractional-order dynamics. Skin tissue experiences heating as the temperature rises gradually. Conventional thermoelastic theory, and simple and refined Green–Lindsay theories have been investigated. The fundamental equations for the current model are derived. The general solution for a problem with initial and boundary conditions is derived using in Laplace domain. Numerical outcomes are graphically illustrated, and a comparison to dissimilar theories with various values of fractional order is made to deliberate the effect of fractional order on the field quantities. The additional influence of ramp-type heat is numerically discussed and graphically presented on distributions of explore temperature, displacement, dilatation, and stress through various theoretical frameworks.</p>