Abstract
In this work, we will present a model that is useful in treating skin tumors of severe thickness by local hyperthermia. The generalized thermo-viscoelasticity theory with memory-dependent derivative (MDD) is used to investigate the transfer of bioheat and heat-induced response in a thick plate of skin tissue with rheological properties. Laplace and Fourier transformations as well as the state space approach are used. The resulting formulation is applied to the surface of a thick tumorous skin tissue with finite thickness subjected to regional hyperthermia therapy for cancer treatment. The inversion process for Fourier and Laplace transforms is carried out using a numerical method based on Fourier series expansions. Comparisons are made with the results anticipated through the coupled and generalized theories.