<abstract xmlns="http://www.w3.org/1999/xhtml">

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

Generalized Thermoelastic Heat Conduction Model Involving Three Different Fractional Operators

Department of Mathematics, College of Science and Arts of Gurayyat

Department of Mathematics, Faculty of Science and Technology

Department of Mathematics, Faculty of Science

Advances in Materials Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

Generalized Thermoelastic Heat Conduction Model Involving Three Different Fractional Operators

Publié en ligne: 19 juin 2023

Pages: 25 - 44

DOI: https://doi.org/10.2478/adms-2023-0009

Mots clés
Thermoelasticity, Fractional order, Three-phase-lags, Solid sphere

© 2023 Anouar Saidi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Generalized Thermoelastic Heat Conduction Model Involving Three Different Fractional Operators

Publié en ligne: 19 juin 2023

Pages: 25 - 44

DOI: https://doi.org/10.2478/adms-2023-0009

Mots clésThermoelasticity, Fractional order, Three-phase-lags, Solid sphere

© 2023 Anouar Saidi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Thermoelasticity, Fractional order, Three-phase-lags, Solid sphere