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

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

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.

Bibliographic Details
Main Authors: Abdelbaki Choucha, Salah Boulaaras, Djamel Ouchenane, Mohamed Abdalla, Ibrahim Mekawy
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:AIMS Mathematics
Subjects:
galerkin's method
moore-gibson-thompson equation
boundary value problem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021442?viewType=HTML
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spelling doaj-7147dbb4313f48ccb2144b6291694f842021-05-26T02:03:06ZengAIMS PressAIMS Mathematics2473-69882021-05-01677585762410.3934/math.2021442Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral conditionAbdelbaki Choucha 0Salah Boulaaras1Djamel Ouchenane 2Mohamed Abdalla3Ibrahim Mekawy41. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria2. 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, Algeria4. Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria5. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia 6. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt2. Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Kingdom of Saudi ArabiaThis 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.https://www.aimspress.com/article/doi/10.3934/math.2021442?viewType=HTMLgalerkin's methodmoore-gibson-thompson equationboundary value problem
collection DOAJ
language English
format Article
sources DOAJ
author Abdelbaki Choucha
Salah Boulaaras
Djamel Ouchenane
Mohamed Abdalla
Ibrahim Mekawy
spellingShingle 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
AIMS Mathematics
galerkin's method
moore-gibson-thompson equation
boundary value problem
author_facet Abdelbaki Choucha
Salah Boulaaras
Djamel Ouchenane
Mohamed Abdalla
Ibrahim Mekawy
author_sort Abdelbaki Choucha
title Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition
title_short Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition
title_full Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition
title_fullStr Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition
title_full_unstemmed Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition
title_sort existence and uniqueness for moore-gibson-thompson equation with, source terms, viscoelastic memory and integral condition
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-05-01
description 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.
topic galerkin's method
moore-gibson-thompson equation
boundary value problem
url https://www.aimspress.com/article/doi/10.3934/math.2021442?viewType=HTML
work_keys_str_mv AT abdelbakichoucha existenceanduniquenessformooregibsonthompsonequationwithsourcetermsviscoelasticmemoryandintegralcondition
AT salahboulaaras existenceanduniquenessformooregibsonthompsonequationwithsourcetermsviscoelasticmemoryandintegralcondition
AT djamelouchenane existenceanduniquenessformooregibsonthompsonequationwithsourcetermsviscoelasticmemoryandintegralcondition
AT mohamedabdalla existenceanduniquenessformooregibsonthompsonequationwithsourcetermsviscoelasticmemoryandintegralcondition
AT ibrahimmekawy existenceanduniquenessformooregibsonthompsonequationwithsourcetermsviscoelasticmemoryandintegralcondition
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