The Effect of Fractional Derivatives on Thermo-Mechanical Interaction in Biological Tissues during Hyperthermia Treatment Using Eigenvalues Approach

This article studies the effects of fractional time derivatives on thermo-mechanical interaction in living tissue during hyperthermia treatment by using eigenvalues approach. A comprehensive understanding heat transfer mechanism and related interactions with patient’s tissues is crucial for effective implementation thermal procedures. The surface traction-free exposed to a pulse boundary flux that decays exponentially. Laplace transforms their associated techniques are applied generalized bio-thermo-elastic model, analytical procedures then implemented. eigenvalue approach utilized obtain solution governing equations. Graphical representations given temperature, displacement, stress results. Afterward, parametric study was carried out determine best method selecting design parameters can improve precision therapies.