Výsledky vyhledávání - "Rachid Bebbouchi"

Akademický článek

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

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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

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Akademický článek

Slow and fast systems with Hamiltonian reduced problems

Autor: Maamar Benbachir, Karim Yadi, Rachid Bebbouchi

Publikováno v: Electronic Journal of Differential Equations, Vol 2010, Iss 06,, Pp 1-19 (2010)

Slow and fast systems are characterized by having some of the derivatives multiplied by a small parameter $epsilon$. We study systems of reduced problems which are Hamiltonian equations, with or without a slowly varying parameter. Tikhonov's theorem

Externí odkaz: https://doaj.org/article/4bc2a61b0ff242c888c3344aca293d78

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Positive Solutions of the Fractional Relaxation Equation Using Lower and Upper Solutions

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

Publikováno v: Vietnam Journal of Mathematics. 44:739-748

In this paper, by means of some fixed point theorems, we establish the existence and uniqueness of positive solution of the fractional relaxation equation. The analysis is based on the method of upper and lower solutions. The results are illustrated

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::afe4f8459e269f96b504ce17c62950d4
https://doi.org/10.1007/s10013-016-0192-0

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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

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Linear and Nonlinear Fractional Voigt Models

Autor: Amar Chidouh, Rachid Bebbouchi, Amor Bouaricha, Delfim F. M. Torres, Assia Guezane-Lakoud

Publikováno v: Lecture Notes in Electrical Engineering ISBN: 9783319454733

We consider fractional generalizations of the ordinary differential equation that governs the creep phenomenon. Precisely, two Caputo fractional Voigt models are considered: a rheological linear model and a nonlinear one. In the linear case, an expli

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d135ad63924bce57688e95156651f581
https://doi.org/10.1007/978-3-319-45474-0_15

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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

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