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

This manuscript deals with the existence and uniqueness for the fourth order of MooreGibson-Thompson equation with, source terms, viscoelastic memory and integral condition by using Galerkin's method. Keywords: Galerkin's method; Moore-Gibson-Thompson equation; boundary value problem

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Veröffentlicht in:AIMS Mathematics 2021-01, Vol.6 (7), p.7585-7624
Hauptverfasser: Choucha, Abdelbaki, Boulaaras, Salah, Ouchenane, Djamel, Abdalla, Mohamed, Mekawy, Ibrahim
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Sprache:eng
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Zusammenfassung:This manuscript deals with the existence and uniqueness for the fourth order of MooreGibson-Thompson equation with, source terms, viscoelastic memory and integral condition by using Galerkin's method. Keywords: Galerkin's method; Moore-Gibson-Thompson equation; boundary value problem
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021442