General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II

This study deals with the general decay of solutions of a new class of Moore–Gibson–Thompson equation with respect to the memory kernel of type II. By using the energy method in the Fourier space, we establish the main results.

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Main Authors: Salah Boulaaras, Abdelbaki Choucha, Andrea Scapellato
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/9015775
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author Salah Boulaaras
Abdelbaki Choucha
Andrea Scapellato
author_facet Salah Boulaaras
Abdelbaki Choucha
Andrea Scapellato
author_sort Salah Boulaaras
collection DOAJ
description This study deals with the general decay of solutions of a new class of Moore–Gibson–Thompson equation with respect to the memory kernel of type II. By using the energy method in the Fourier space, we establish the main results.
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institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-ab5ab6a7ad7a4aa49ff0afc07c96e2f72025-02-03T06:10:55ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9015775General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type IISalah Boulaaras0Abdelbaki Choucha1Andrea Scapellato2Department of MathematicsLaboratory of Operator Theory and PDEs: Foundations and ApplicationsDepartment of Mathematics and Computer ScienceThis study deals with the general decay of solutions of a new class of Moore–Gibson–Thompson equation with respect to the memory kernel of type II. By using the energy method in the Fourier space, we establish the main results.http://dx.doi.org/10.1155/2022/9015775
spellingShingle Salah Boulaaras
Abdelbaki Choucha
Andrea Scapellato
General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
Journal of Function Spaces
title General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
title_full General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
title_fullStr General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
title_full_unstemmed General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
title_short General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II
title_sort general decay of the moore gibson thompson equation with viscoelastic memory of type ii
url http://dx.doi.org/10.1155/2022/9015775
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AT andreascapellato generaldecayofthemooregibsonthompsonequationwithviscoelasticmemoryoftypeii