On the Global Nonexistence of a Solution for Wave Equations with Nonlinear Memory Term-Reference-Cited by-同舟云学术

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

Published:2023-10-29 Issue:11 Volume:7 Page:788
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Reda Soufiane Bousserhane¹,Memou Amer¹,Berkane Abdelhak¹,Himadan Ahmed²^ORCID,Moumen Abdelkader³,Saber Hicham³,Alraqad Tariq³

Affiliation:

1. Laboratory of Differential Equations, Department of Mathematics, College of Sciences, University of Constantine, Constantine 25000, Algeria

2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia

3. Department of Mathematics, Faculty of Sciences, University of Ha’il, Ha’il 55473, Saudi Arabia

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.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/11/788/pdf

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