SOLVABILITY OF THE MOORE-GIBSON-THOMPSON EQUATION WITH VISCOELASTIC MEMORY TYPE II AND INTEGRAL CONDITION

被引：4

作者：

Boulaaras, Salah ^{[1
]}

Choucha, Abdelbaki ^{[2
,3
]}

Ouchenane, Djamel ^{[4
]}

Abdalla, Mohamed ^{[5
,6
]}

Vazquez, Aldo Jonathan Munoz ^{[7
]}

机构：

[1] Qassim Univ, Coll Sci & Arts ArRass, Dept Math, Buraydah, Saudi Arabia

[2] Univ El Oued, Fac Exact Sci, Dept Math, El Oued, Algeria

[3] Amar Teleji Laghouat Univ, Fac Sci, Dept Mat Sci, Laghouat, Algeria

[4] Amar Teleji Laghouat Univ, Fac Sci, Dept Math, Laghouat, Algeria

[5] King Khalid Univ, Coll Sci, Math Dept, Abha 61413, Saudi Arabia

[6] South Valley Univ, Fac Sci, Dept Math, Qena 83523, Egypt

[7] Texas A&M Univ, Engn Coll, College Stn, TX USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 06期

关键词：

Moore-Gibson-Thompson equation; viscoelastic memory type ii; non-; local condition; approximate solution; Galerkin?s Method;

D O I：

10.3934/dcdss.2022151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and uniqueness of solutions of a new class of Moore-Gibson-Thompson equation with respect to the nonlocal mixed boundary value problem and memory kernel of type II. This work is a generalization and improved of recent result in ([7], Math. Meth. App. Sci. 42, 2664-2679) and ([15], J. Evol. Equ. 20, 1251-1268 (2020)).

引用

页码：1216 / 1241

页数：26

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