Bifurcation for non linear ordinary differential equations with singular perturbation

Autor: Safia Acher Spitalier, Rachid Bebbouchi

Publikováno v: Electronic Journal of Differential Equations, Vol 2016, Iss 275,, Pp 1-8 (2016)

We study a family of singularly perturbed ODEs with one parameter and compare their solutions to the ones of the corresponding reduced equations. The interesting characteristic here is that the reduced equations have more than one solution for a g

Externí odkaz: https://doaj.org/article/060a33df2a8748cb99b27a433b2b068e

On the generalized Blasius equation

Autor: Rachid Bebbouchi, Abdelali Makhfi

Publikováno v: Afrika Matematika. 31:803-811

The Blasius equation is a well known third-order nonlinear ordinary differential equation, which arises in certain boundary layer problems in the fluid dynamics. In this paper we prove the existence and the uniqueness of the solution of a generalized

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e7acbe2399e8772e5ac3fc1cecfe195f
https://doi.org/10.1007/s13370-020-00762-9

Positive solutions for an oscillator fractional initial value problem

Autor: Rachid Bebbouchi, Assia Guezane-Lakoud, Amar Chidouh

Publikováno v: Journal of Applied Mathematics and Computing. 54:57-68

In this paper, we will study a fractional initial value problem. By using Laplace transform, we obtain an equivalent fixed point problem, that is a Volterra integral equation involving the generalized Mittag-Leffler function in the kernel. The existe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6683071777f8b1097f38b984328b24f1
https://doi.org/10.1007/s12190-016-0996-9

The foam drainage equation with time- and space-fractional derivatives solved by the Adomian method

Autor: Mohammed Mostefa Mesmoudi, Zoubir Dahmani, Rachid Bebbouchi

Publikováno v: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2008, Iss 30, Pp 1-10 (2008)

In this paper, by introducing the fractional derivative in the sense of Caputo, we apply the Adomian decomposition method for the foam drainage equation with time- and space-fractional derivative. As a result, numerical solutions are obtained in a fo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62fccafda0790167fa5980c119b3507c
https://doi.org/10.14232/ejqtde.2008.1.30

Popularization: a place for a more humane mathematics?

Autor: Christian Mercat

Publikováno v: Actes EMF2015 pluralités culturelles et universalité des mathématiques, enjeux et perspectives pour leur enseignement et leur apprentissage
Espace Mathématique Francophone 2015
Espace Mathématique Francophone 2015, Rachid Bebbouchi, USTHB, Oct 2015, Alger, Algérie
HAL

International audience; This article describes some experimentations in popularization of mathematics attempting to bring certain latent humane capabilities into service such as visual, aural, tactile, kinaesthetic and spatial perceptions, which are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9e26b434b0d55d8eb40e8c5a59aa9f19
https://hal.science/hal-01313156/file/EMF2015SPE2MERCAT.pdf