Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory type II and integral condition-Reference-Cited by-同舟云学术

Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory type II and integral condition

Published:2022 Issue:0 Volume:0 Page:0
ISSN:1937-1632
Container-title:Discrete and Continuous Dynamical Systems - S
language:
Short-container-title:DCDS-S

Author:

Boulaaras Salah¹,Choucha Abdelbaki²³,Ouchenane Djamel⁴,Abdalla Mohamed⁵⁶,Vazquez Aldo Jonathan Muñoz⁷

Affiliation:

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

2. Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria

3. Department of Material Sciences, Faculty of Sciences, Amar Teleji Laghouat University, Algeria

4. Department of Mathematics, Faculty of Sciences, Amar Teleji Laghouat University, Algeria

5. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

6. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

7. Engineering College, Texas A& M University, USA

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 and memory kernel of type II. This work is a generalization and improved of recent result in ([<xref ref-type="bibr" rid="b7">7</xref>], Math. Meth. App. Sci. 42, 2664-2679) and ([<xref ref-type="bibr" rid="b15">15</xref>], J. Evol. Equ. 20, 1251–1268 (2020)).

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference35 articles.

1. R. P. Agarwal, et al., On the continuation principle of local smooth solution for the Hall-MHD equations, Applicable Analysis., 101 (2022), 545-553.

2. R. P. Agarwal, et al., A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space, Z. Angew. Math. Phys., 71 (2020), Paper No. 95, 11 pp.

3. A. M. Alghamdi, et al., A regularity criterion for local strong solutions to the 3D Stokes-MHD equations, Annales Polonici Mathematici., 124 (2020), 247-255.

4. A. Barbagallo, et al., On the regularity of weak solutions of the Boussinesq equations in Besov spaces, Vietnam J. Math., 49 (2021), 637-649.

5. S. Boulaaras, M. Haiour.The finite element approximation of evolutionary Hamilton-Jacobi-Bellman equations with nonlinear source terms, Indagationes Mathematicae., 24 (2013), 161-173.

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