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Математические заметки, 2023, том 113, выпуск 1, статья опубликована в англоязычной версии журнала
(Mi mzm13862)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Статьи, опубликованные в английской версии журнала
Solution Blow-Up for a Fractional Fourth-Order Equation
of Moore–Gibson–Thompson Type with Nonlinearity
Nonlocal in Time
F. Meslouba, A. Meraha, S. Boulaarasb a Laboratory of Mathematics, Informatics, and Systems,
Larbi Tebessi University, Tebessa, 12002 Algeria
b Department of Mathematics, College of Sciences and
Arts, Qassim University, Ar Rass, 51921 Saudi Arabia
Аннотация:
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.
Ключевые слова:
prime number, arithmetic progression, fractional part,
Bombieri–Vinogradov theorem, exponential sum.
Поступило: 03.02.2022 Исправленный вариант: 18.05.2022
Образец цитирования:
F. Mesloub, A. Merah, S. Boulaaras, “Solution Blow-Up for a Fractional Fourth-Order Equation
of Moore–Gibson–Thompson Type with Nonlinearity
Nonlocal in Time”, Math. Notes, 113:1 (2023), 72–79
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm13862
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