Generalized Thermoelastic Heat Conduction Model Involving Three Different Fractional Operators

Abstract The purpose of this paper is to introduce a new time-fractional heat conduction model with three-phase-lags and three distinct fractional-order derivatives. We investigate the introduced in situation an isotropic homogeneous solid sphere. exterior sphere exposed thermal shock decaying generation rate. recuperate some earlier thermoelasticity models as particular cases from proposed model. Moreover, effects different fractional thermoelastic effect instant time on physical variables medium are studied. obtain numerical solutions for various fields using Laplace inversion technique. represent obtained results graphically discuss them. Physical views presented article may be useful design materials, bio-heat transfer mechanisms between tissues other scientific domains.