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; Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria

doi:10.3934/math.2021442

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

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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 and Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria

AIMS mathematics, Vol.6(7), pp.7585-7624

01/01/2021

DOI: https://doi.org/10.3934/math.2021442

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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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Title: Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition
Creators - without role: Abdelbaki Choucha - Univ El Oued, Fac Exact Sci, Dept Math, Lab Operator Theory & PDE Fdn & Applicat, El Oued, Algeria
Salah Boulaaras - Qassim University
Djamel Ouchenane - Amar Teledji Laghouat Univ, Lab Pure & Appl Math, Laghouat, Algeria
Mohamed Abdalla - King Khalid University
Ibrahim Mekawy - Qassim University
Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria
Publication Details: AIMS mathematics, Vol.6(7), pp.7585-7624
Publisher: Amer Inst Mathematical Sciences-Aims
Number of pages: 40
Identifiers: 9924135108331
Academic Unit: King Khalid University; Qassim University
Language: English
Resource Type: Journal article