Generalized thermoelastic heat conduction model involving three different fractional operators

Saidi, Anouar; Yahya, Ahmed M. H; Abouelregal, Ahmed E.; Dargail, Husam E.; Ahmed, Ibrahim-Elkhalil; Ali, Elsiddeg; Mohammed, F. A.

doi:10.2478/adms-2023-0009

Artykuł - szczegóły

Tytuł artykułu

Generalized thermoelastic heat conduction model involving three different fractional operators

Autorzy

Saidi Anouar , Yahya Ahmed M. H , Abouelregal Ahmed E. , Dargail Husam E. , Ahmed Ibrahim-Elkhalil , Ali Elsiddeg , Mohammed F. A.

Wybrane pełne teksty z tego czasopisma

http://content.sciendo.com/view/journals/adms/adms-overview.xml

Identyfikatory

DOI

10.2478/adms-2023-0009

Warianty tytułu

Języki publikacji

Abstrakty

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.

Słowa kluczowe

thermoelasticity fractional order three phase lags solid sphere

termoelastyczność rząd ułamkowy opóźnienie trójfazowe

Wydawca

Politechnika Gdańska

Czasopismo

Advances in Materials Science

Rocznik

2023

Tom

Vol. 23, nr 2(76)

Strony

25--44

Opis fizyczny

Bibliogr. 79 poz., rys., tab., wykr.

Twórcy

autor

Saidi Anouar

saidi.anouar@yahoo.fr

Department of Mathematics, College of Science and Arts of Gurayyat, Jouf University, Gurayyat, Kingdom of Saudi Arabia

autor

Yahya Ahmed M. H

Department of Mathematics, College of Science and Arts of Gurayyat, Jouf University, Gurayyat, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Science and Technology, Shendi University, Shendi, Sudan

autor

Abouelregal Ahmed E.

Department of Mathematics, College of Science and Arts of Gurayyat, Jouf University, Gurayyat, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

autor

Dargail Husam E.

Department of Mathematics, College of Science and Arts of Gurayyat, Jouf University, Gurayyat, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Science and Technology, Shendi University, Shendi, Sudan

autor

Ahmed Ibrahim-Elkhalil

Department of Mathematics, College of Science and Arts of Gurayyat, Jouf University, Gurayyat, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Science and Technology, Shendi University, Shendi, Sudan

autor

Ali Elsiddeg

Department of Mathematics, Taif University Faculty of Science, Kingdom of Saudi Arabia

autor

Mohammed F. A.

Department of Mathematics, College of Science and Arts of Gurayyat, Jouf University, Gurayyat, Kingdom of Saudi Arabia
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).

Typ dokumentu

Bibliografia

Identyfikator YADDA

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