Blow up of solutions of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms

S Boulaaras, A Choucha, D Ouchenane… - Advances in Difference …, 2020 - Springer
This work studies the blow-up result of the solution of a coupled nonlocal singular
viscoelastic equation with general source and localized frictional damping terms under …

[PDF][PDF] Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback

R Aounallah, A Choucha, S Boulaaras… - Archives of Control …, 2024 - yadda.icm.edu.pl
Mathematical modeling and analysis serve as indispensable tools in the realms of science
and engineering, providing a systematic framework for understanding, predicting, and …

[PDF][PDF] Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation

N Doudi, S Boulaaras, N Mezouar… - Discrete Contin. Dyn …, 2023 - researchgate.net
In this paper, we consider a wave equation with logarithmic source term and fractional
boundary dissipation. We study the global existence of the solution under some conditions …

Global Existence for Two Singular One‐Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term

A Choucha, SM Boulaaras… - Journal of Function …, 2021 - Wiley Online Library
In this current work, we are interested in a system of two singular one‐dimensional nonlinear
equations with a viscoelastic, general source and distributed delay terms. The existence of a …

Asymptotic behavior of a logarithmic-viscoelastic wave equation with internal fractional damping

R Aounallah, A Choucha, S Boulaaras - Periodica Mathematica Hungarica, 2024 - Springer
We consider a viscoelastic wave equation with internal fractional damping and a logarithmic
source term. By utilizing the energy method combined with the Faedo–Galerkin procedure …

[PDF][PDF] The Galerkin Method for Fourth‐Order Equation of the Moore–Gibson–Thompson Type with Integral Condition

A Mesloub, A Zaraï, F Mesloub… - Advances in …, 2021 - pdfs.semanticscholar.org
Research on the nonlinear propagation of sound in a situation of high amplitude waves has
shown literature on physically well-founded partial differential models (see, eg,[1–23]). This …

[PDF][PDF] Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition

A Choucha, S Boulaaras, D Ouchenane… - AIMS …, 2021 - aimspress.com
Existence and uniqueness for Moore--Gibson--Thompson equation with, source terms,
viscoelastic memory and integral condition Page 1 http://www.aimspress.com/journal/Math …

A New Result of Stability for Thermoelastic‐Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

D Ouchenane, Z Khalili, F Yazid… - Journal of Function …, 2021 - Wiley Online Library
We consider a one‐dimensional linear thermoelastic Bresse system with delay term, forcing,
and infinity history acting on the shear angle displacement. Under an appropriate …

Global existence and decay for a system of two singular nonlinear viscoelastic equations with general source and localized frictional damping terms

SM Boulaaras, R Guefaifia, N Mezouar… - Journal of Function …, 2020 - Wiley Online Library
The current paper deals with the proof of a global solution of a viscoelasticity singular one‐
dimensional system with localized frictional damping and general source terms, taking into …

Existence of Positive Weak Solutions for a New Class of (p, q) Laplacian Nonlinear Elliptic System with Sign‐Changing Weights

R Guefaifia, SM Boulaaras, S Alodhaibi… - Complexity, 2020 - Wiley Online Library
In this paper, by using subsuper solutions method, we study the existence of weak positive
solutions for a new class of (p, q) Laplacian nonlinear elliptic system in bounded domains …