Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition-Reference-Cited by-同舟云学术

Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition

Published:2021-04-19 Issue: Volume:2021 Page:1-15
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Boulaaras Salah Mahmoud¹²^ORCID,Choucha Abdelbaki³,Ouchenane Djamel⁴,Alharbi Asma¹,Abdalla Mohamed⁵⁶^ORCID,Cherif Bahri Belkacem¹⁷^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

2. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran, 31000 Oran, Algeria

3. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria

4. Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Algeria

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

7. Preparatory Institute for Engineering Studies in Sfax, Tunisia

Abstract

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, source term, and nonnegative memory kernel. Galerkin’s method was the main used tool for proving our result. This work is a generalization of recent homogenous work.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9932354.pdf

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