On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-10-29 DOI:10.3390/fractalfract7110788

Soufiane Bousserhane Reda, Amer Memou, Abdelhak Berkane, Ahmed Himadan, Abdelkader Moumen, Hicham Saber, Tariq Alraqad

引用次数: 0

Abstract

The paper is devoted to the problem of the local existence for a solution to a nonlinear wave equation, with the dissipation given by a nonlinear form with the presence of a nonlinear memory term. Moreover, the global nonexistence of a solution is established using the test function method. We combine the Fourier transform and fractional derivative calculus to achieve our goal.

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一类具有非线性记忆项的波动方程解的全局不存在性

研究一类非线性波动方程解的局部存在性问题，该方程的耗散由非线性形式给出，且存在非线性记忆项。此外，利用测试函数法建立了解的全局不存在性。我们将傅里叶变换和分数阶导数微积分结合起来实现我们的目标。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.