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Abstract: In this paper we present a mathematical analysis for a steady-state laminar boundary layer flow, governed by the Ostwald-de Wael power-law model of an incompressible nonNewtonian fluid past a semi-infinite power-law stretched flat plate with uniform free stream velocity. A generalization of the usual Blasius similarity transformation is used to… (More)

- Haci Mehmet Baskonus, Toufik Mekkaoui, Zakia Hammouch, Hasan Bulut
- Entropy
- 2015

In this paper, a fractional order economic system is studied. An active control technique is applied to control chaos in this system. The stabilization of equilibria is obtained by both theoretical analysis and the simulation result. The numerical simulations, via the improved Adams–Bashforth algorithm, show the effectiveness of the proposed controller.

- ZAKIA HAMMOUCH
- 2008

In this paper we consider the problem of a steady MHD flow of a non-Newtonian power-law and electrically conducting fluid in presence of an applied magnetic field. The boundary layer equations are solved in similarity form via the Lyapunov energy method, we show that this problem has an infinite number of positive global solutions.

In this paper we present approximate analytical solution of a time-fractional Zakharov-Kuznetsov equation via the fractional iteration method. The fractional derivatives are described in the Caputo sense. The approximate results show that the fractional iteration method is a very efficient technique to handle fractional partial differential equations.

This paper is concerned with the numerical solutions of a variable-order space-time fractional reaction-diffusion model. The space-time fractional derivative is considered in the sense of Riesz-Feller, the system is defined by replacing the second order space derivatives with the variable Riesz-Feller derivatives. The problem is solved by an explicit finite… (More)

- ZAKIA HAMMOUCH
- 2008

In this communication we deal with the exact solutions called ”pseudosimilarity” of a steady free convection problem studied by by Kumaran and Pop (2006). They showed that there is no similarity solution for the case of a wall temperature as Tw(x) ∼ x 1 2 (resp. a wall heat flux as qw(x) ∼ x 3 2 , and a dimensionless heat transfer coefficient hw(x) ∼ x). We… (More)

- Jagdev Singh, Devendra Kumar, Zakia Hammouch, Abdon Atangana
- Applied Mathematics and Computation
- 2018

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