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

doi:10.3934/math.2021442

AIMS Mathematics (May 2021)

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

Affiliations

Abdelbaki Choucha: 1. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria
Salah Boulaaras: 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
Djamel Ouchenane: 4. Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria
Mohamed Abdalla: 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
Ibrahim Mekawy: 2. Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Kingdom of Saudi Arabia

DOI: https://doi.org/10.3934/math.2021442
Journal volume & issue: Vol. 6, no. 7
pp. 7585 – 7624

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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