15 citations · 15 across the 5 of their papers we have counts for
5 papers
Rescaling method for blow-up solutions of nonlinear wave equations
Mondher Benjemaa, Aida Jrajria, Hatem Zaag
We develop a hybrid scheme based on a finite difference scheme and a rescaling technique to approximate the solution of nonlinear wave equation. In order to numerically reproduce t…
Discontinuous Galerkin method for blow-up solutions of nonlinear 1D wave equations
Asma Azaiez, Mondher Benjemaa, Aida Jrajria +1
We develop and study a time-space discrete discontinuous Galerkin finite elements method to approximate the solution of one-dimensional nonlinear wave equations. We show that the n…
New results on the uniform exponential stability of non-autonomous perturbed dynamical systems
Mondher Benjemaa, Wided Gouadri, Mohamed Ali Hammami
In this paper, we investigate the asymptotic behaviors of the solutions of nonlinear dynamic systems nearby an equilibrium point, when the nominal parts are subject to non necessar…
On the fractional operators with respect to another function
Mondher Benjemaa, Fatma Jerbi
This paper is in concern with Cauchy problems involving the fractional derivatives with respect to another function. Results of existence, uniqueness, and Taylor series among other…
Generalized Taylor formulas involving generalized fractional derivatives
Mondher Benjemaa
In this paper, we establish a generalized Taylor expansion of a given function in the form \noi…