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

Abstract

<p style='text-indent:20px;'>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. <b>42</b>, 2664-2679) and ([<xref ref-type="bibr" rid="b15">15</xref>], J. Evol. Equ. <b>20</b>, 1251–1268 (2020)).</p>