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SOLVABILITY OF THE MOORE-GIBSON-THOMPSON EQUATION WITH VISCOELASTIC MEMORY TYPE II AND INTEGRAL CONDITION
Journal article   Open access  Peer reviewed

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

Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Mohamed Abdalla, Aldo Jonathan Munoz Vazquez and Department of Mathematics, Faculty of Exact Sciences, University of El Oued, Algeria
Discrete and continuous dynamical systems. Series S, Vol.16(6), pp.1216-1241
2023
DOI: https://doi.org/10.3934/dcdss.2022151

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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)).
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https://doi.org/10.3934/dcdss.2022151View
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