Abstract:The recent research progress on fractional generalized thermoelastic problems has been summarized in this paper, covering advances in fractional generalized thermoelasticity theory, the effects of magneto-electro-multiphysics coupling, diffusion, viscoelasticity, and fractional heat conduction in biological tissues. Through this summary, a comprehensive understanding of the current state and future trends in fractional generalized thermoelastic problems is provided, facilitating researchers in advancing to higher-level studies in this field.