Exploring asymptotic behavior in viscoelastic waves: Combined effects of acoustic, fractional conditions, and nonlinear time-varying delay

Abdelbaki Choucha; Salah Boulaaras; Rashid Jan; Praveen Agarwal; Asma Alharbi

doi:10.1080/27684830.2025.2540689

Exploring asymptotic behavior in viscoelastic waves: Combined effects of acoustic, fractional conditions, and nonlinear time-varying delay

Abdelbaki Choucha
, Salah Boulaaras
, Rashid Jan
, Praveen Agarwal
, Asma Alharbi

Nonlinear Dynamic Research Centre (NDRC)

University of Laghouat
Ghardaia University
Qassim University
Universiti Tenaga Nasional
Near East University
International College of Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This study is concerned with a nonlinear viscoelastic wave equation. By supposing the nonlinear time-varying delay feedback acting on the boundary coupling by the acoustic and fractional boundary conditions. Under suitable assumptions and in the case general of the kernel, we prove the asymptotic behavior of solutions.

Original language	English
Article number	2540689
Journal	Research in Mathematics
Volume	12
Issue number	1
DOIs	https://doi.org/10.1080/27684830.2025.2540689
State	Published - 31 Dec 2025

Keywords

Wave equation
acoustic boundary
asymptotic behavior
fractional boundary dissipation
nonlinear equations
time-varying delay
viscoelas tic term

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10.1080/27684830.2025.2540689

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abstract = "This study is concerned with a nonlinear viscoelastic wave equation. By supposing the nonlinear time-varying delay feedback acting on the boundary coupling by the acoustic and fractional boundary conditions. Under suitable assumptions and in the case general of the kernel, we prove the asymptotic behavior of solutions.",

keywords = "Wave equation, acoustic boundary, asymptotic behavior, fractional boundary dissipation, nonlinear equations, time-varying delay, viscoelas tic term",

author = "Abdelbaki Choucha and Salah Boulaaras and Rashid Jan and Praveen Agarwal and Asma Alharbi",

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AU - Choucha, Abdelbaki

AU - Boulaaras, Salah

AU - Jan, Rashid

AU - Agarwal, Praveen

AU - Alharbi, Asma

PY - 2025/12/31

Y1 - 2025/12/31

N2 - This study is concerned with a nonlinear viscoelastic wave equation. By supposing the nonlinear time-varying delay feedback acting on the boundary coupling by the acoustic and fractional boundary conditions. Under suitable assumptions and in the case general of the kernel, we prove the asymptotic behavior of solutions.

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KW - Wave equation

KW - acoustic boundary

KW - asymptotic behavior

KW - fractional boundary dissipation

KW - nonlinear equations

KW - time-varying delay

KW - viscoelas tic term

UR - https://www.scopus.com/pages/publications/105012627253

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Exploring asymptotic behavior in viscoelastic waves: Combined effects of acoustic, fractional conditions, and nonlinear time-varying delay

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Keywords

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