Solution Blow-Up for a Fractional Fourth-Order Equation of Moore-Gibson-Thompson Type with Nonlinearity Nonlocal in Time

被引：2

作者：

Mesloub, F. ^{[1
]}

Merah, A. ^{[1
]}

Boulaaras, S. ^{[2
]}

机构：

[1] Larbi Tebessi Univ, Lab Math Informat & Syst, Tebessa 12002, Algeria

[2] Qassim Univ, Coll Sci & Arts, Dept Math, Ar Rass 51921, Saudi Arabia

来源：

MATHEMATICAL NOTES | 2023年 / 113卷 / 1-2期

关键词：

prime number; arithmetic progression; fractional part; Bombieri-Vinogradov theorem; exponential sum;

D O I：

10.1134/S000143462301008X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We reformulate the fourth-order equation of the Moore-Gibson-Thompson (MGT) type to a fractional semilinear fourth-order equation with structural damping and a time-nonlocal nonlinearity. The solution blow-up for this problem is established by the test function method. First, we recall some definitions and elementary properties of the fractional derivatives, and then we study the absence of global weak solutions.

引用

页码：72 / 79

页数：8

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