Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition

Abdelbaki Choucha; Salah Boulaaras; Djamel Ouchenane; Mohamed Abdalla; Ibrahim Mekawy; Abdelbaki Choucha; Salah Boulaaras; Djamel Ouchenane; Mohamed Abdalla; Ibrahim Mekawy

doi:10.3934/math.2021442

AIMS Mathematics

2021, Volume 6, Issue 7: 7585-7624. doi: 10.3934/math.2021442

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Research article Special Issues

Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition

1.
Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria
2.
Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Kingdom of Saudi Arabia
3.
Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria
4.
Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria
5.
Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
6.
Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

Received: 03 February 2021 Accepted: 06 May 2021 Published: 10 May 2021
MSC : 35B30, 35B40, 35J60

This manuscript deals with the existence and uniqueness for the fourth order of Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition by using Galerkin's method.
- Galerkin's method,
- Moore-Gibson-Thompson equation,
- boundary value problem
Citation: Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane, Mohamed Abdalla, Ibrahim Mekawy. Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition[J]. AIMS Mathematics, 2021, 6(7): 7585-7624. doi: 10.3934/math.2021442

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Abstract

This manuscript deals with the existence and uniqueness for the fourth order of Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition by using Galerkin's method.

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