Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Abderrahmane Beniani"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-25 (2024)
Abstract In this paper, we investigate a system of coupled wave equations featuring boundary fractional damping applied to a portion of the domain. We first establish the well-posedness of the system, proving the existence and uniqueness of solutions
Externí odkaz:
https://doaj.org/article/35b02fa554924119a394857ba97c887d
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-23 (2024)
Abstract We investigate numerical solutions and compare them with Fractional Physics-Informed Neural Network (FPINN) solutions for a coupled wave equation involving fractional partial derivatives. The problem explores the evolution of functions u and
Externí odkaz:
https://doaj.org/article/2630f16aefa5418eb9ac1939f7d0e0ad
Autor:
Noureddine Bahri, Abderrahmane Beniani, Abdelkader Braik, Svetlin G. Georgiev, Zayd Hajjej, Khaled Zennir
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27605-27625 (2023)
The paper considers the effects of fractional derivative with a high degree of accuracy in the boundary conditions for the transmission problem. It is shown that the existence and uniqueness of the solutions for the transmission problem in a bounded
Externí odkaz:
https://doaj.org/article/7e5400f6c47545a6b6aa1bcfb35a9013
Autor:
Abdelkader Moumen, Abderrahmane Beniani, Tariq Alraqad, Hicham Saber, Ekram. E. Ali, Keltoum Bouhali, Khaled Zennir
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 13815-13829 (2023)
In this work, we consider a nonlinear transmission problem in the bounded domain with a delay term in the first equation. Under conditions on the weight of the damping and the weight of the delay, we prove general stability estimates by introducing a
Externí odkaz:
https://doaj.org/article/b6ea2ce12623466b8f91a6f82266c9de
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 1, Pp 11-34 (2023)
We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with Fae
Externí odkaz:
https://doaj.org/article/4f31d1529d59460788bc440b7b23307d
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 285-294 (2023)
An initial value problem is considered for the nonlinear dissipative wave equation containing the p(x)-bi-Laplacian operator. For this problem, sufficient conditions for the blow-up with nonpositive initial energy of a generalized solution are obtain
Externí odkaz:
https://doaj.org/article/218ec3bfa77243f8951ac6b147d0cfa9
Autor:
Hicham Saber, Abdelkader Braik, Noureddine Bahri, Abderrahmane Beniani, Tariq Alraqad, Yousef Jawarneh, Khaled Zennir
Publikováno v:
Fractal and Fractional, Vol 8, Iss 2, p 94 (2024)
We consider a damped transmission problem in a bounded domain where the damping is effective in a neighborhood of a suitable subset of the boundary. Using the semigroup approach together with Hille–Yosida theorem, we prove the existence and uniquen
Externí odkaz:
https://doaj.org/article/5c9f9eacdd97475ebd0c5dc7bc9387a8
Autor:
Younes Bidi, Abderrahmane Beniani, Keltoum Bouhali, Khaled Zennir, Hatim M. ElKhair, Eltegani I. Hassan, Almonther Alarfaj
Publikováno v:
Axioms, Vol 12, Iss 4, p 343 (2023)
The aim of this paper is to investigate the local weak existence and vacuum isolating of solutions, asymptotic behavior, and blow-up of the solutions for a wave equation involving the fractional Laplacian with nonlinear source. By means of the Galerk
Externí odkaz:
https://doaj.org/article/f2e85607bbd644978461eab366fc883e
Publikováno v:
Axioms, Vol 12, Iss 1, p 48 (2023)
The present paper deals with well-posedness and asymptotic stability for weakly coupled wave equations with a more general internal control of diffusive type. Owing to the semigroup theory of linear operator, the well-posedness of system is proved. F
Externí odkaz:
https://doaj.org/article/50453819e95445f8a6112a954e416805
Publikováno v:
AIMS Mathematics. 8:285-294
An initial value problem is considered for the nonlinear dissipative wave equation containing the $ p(x) $-bi-Laplacian operator. For this problem, sufficient conditions for the blow-up with nonpositive initial energy of a generalized solution are ob