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STABILITY OF FRACTIONAL-ORDER NONLINEAR SYSTEMS DEPENDING ON A PARAMETER
Ben Makhlouf, Abdellatif,Hammami, Mohamed Ali,Sioud, Khaled Korean Mathematical Society 2017 대한수학회보 Vol.54 No.4
In this paper, we present a practical Mittag Leffler stability for fractional-order nonlinear systems depending on a parameter. A sufficient condition on practical Mittag Leffler stability is given by using a Lyapunov function. In addition, we study the problem of stability and stabilization for some classes of fractional-order systems.
REMITTANCES, DUTCH DISEASE, AND COMPETITIVENESS: A BAYESIAN ANALYSIS
FARID MAKHLOUF,MAZHAR MUGHAL 중앙대학교 경제연구소 2013 Journal of Economic Development Vol.38 No.2
The paper studies symptoms of Dutch disease in the Pakistani economy arising from international remittances. An IV Bayesian analysis is carried out to take care of the endogeneity and uncertainty due to the managed float of Pakistani Rupee. We find evidence for both spending and resource movement effects in both the short and the long-run. These impacts are stronger and different from those the Official Development Assistance and the FDI exert. We find that while aggregate remittances and the remittances from Persian Gulf contribute to the Dutch disease in Pakistan, those from North America and Europe do not.
Abdellatif Ben Makhlouf,Mohamed Ali Hammami 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.6
In this paper, we point out that inequality (7) of [5] is not correct. A feasible modified and corrected version of the main result is presented. Furthermore, some numerical examples are given to illustrate the applicability of the modified result.
Nanocrystalline Co3O4 Fabricated via the Combustion Method
M. Th. Makhlouf,B. M. Abu-Zied,T. H. Mansoure 대한금속·재료학회 2013 METALS AND MATERIALS International Vol.19 No.3
A facile and rapid combustion method has been used to prepare nano-crystalline Co3O4 spinel employing urea as a combustion fuel. The fabrication was carried out by refluxing a mixture of cobalt nitrate and urea followed by calcination, for 3 h in static air atmosphere, at 400 °C. The thermal genesis of the Co3O4was explored by means of thermogravimetric and differential thermal analyses in air atmosphere in the temperature range 25-1000 °C. X-ray diffraction, Fourier transform infrared spectra, and scanning electron microscopy were used to characterize the structure and morphology of the Co3O4. The obtained results conrmed that the resulting oxides were comprised of pure single-crystalline Co3O4 nanoparticles. Moreover,various comparison experiments showed that several experimental parameters, such as the reflux time and the urea/cobalt nitrate molar ratio, play important roles in the crystallite size as well as the morphological control of Co3O4 powders. Consequently, the minimum crystallite size can be obtained at 12 h reflux and a urea/cobalt nitrate molar ratio of 5.
Stability of fractional-order nonlinear systems depending on a parameter
Abdellatif Ben Makhlouf,Mohamed Ali Hammami,Khaled Sioud 대한수학회 2017 대한수학회보 Vol.54 No.4
In this paper, we present a practical Mittag Leffler stability for fractional-order nonlinear systems depending on a parameter. A sufficient condition on practical Mittag Leffler stability is given by using a Lyapunov function. In addition, we study the problem of stability and stabilization for some classes of fractional-order systems.
α-TYPE HOCHSCHILD COHOMOLOGY OF HOM-ASSOCIATIVE ALGEBRAS AND BIALGEBRAS
Hurle, Benedikt,Makhlouf, Abdenacer Korean Mathematical Society 2019 대한수학회지 Vol.56 No.6
In this paper we define a new type of cohomology for multiplicative Hom-associative algebras, which generalizes Hom-type Hochschild cohomology and fits with deformations of Hom-associative algebras including the deformation of the structure map ${\alpha}$. Moreover, we provide various observations and similarly a new type cohomology of Hom-bialgebras extending the Gerstenhaber-Schack cohomology for Hom-bialgebras and fitting with formal deformations including deformations of the structure map.
Limit cycles for a class of fifth-order differential equations
Achref Eddine Tabet,Makhlouf Amar 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.1
The purpose of this research is to investigate sufficient conditions for the existence of limit cycles of the fifth-order differential equation \begin{equation*} x^{(5)}+(p^2+q^2)\overset{...}{x}+p^2q^2\overset{.}{x}=\varepsilon F(t,x,\overset{.}{x},\overset{..}{x},\overset{...}{x},\overset{....}{x}), \end{equation*} where $p,\;q$ are rational numbers different from $0$, $p\neq\pm q$, $\varepsilon$ is a small real parameter, and $F$ is a $2k\pi$-periodic function in the variable $t$. Also, we provide some applications.
Experimental shear strengthening of GFRC beams without stirrups using innovative techniques
Marwa Hany,Mohamed H. Makhlouf,Gamal Ismail,Ahmed S. Debaiky 국제구조공학회 2022 Structural Engineering and Mechanics, An Int'l Jou Vol.83 No.4
Eighteen (18) (120×300×2200 mm) beams were prepared and tested to evaluate the shear strength of Glass Fiber Reinforced Concrete (GFRC) beams with no shear reinforcement, and evaluate the effectiveness of various innovative strengthening systems to increase the shear capacity of the GFRC beams. The test variables are the amount of discrete glass fiber (0.0, 0.6, and 1.2% by volume of concrete) and the type of longitudinal reinforcement bars (steel or GFRP), the strengthening systems (externally bonded (EB) sheet, side near-surface mounted (SNSM) bars, or the two together), strengthening material (GFRP or steel) links, different configurations of NSM GFRP bars (side bonded links, full wrapped stirrups, side C-shaped stirrups, and side bent bars), link spacing, link inclination angle, and the number of bent bars. The experimental results showed that adding the discrete glass fiber to the concrete by 0.6%, and 1.2% enhanced the shear strength by 18.5% and 28%, respectively in addition to enhancing the ductility. The results testified the efficiency of different strengthening systems, where it is enhanced the shear capacity by a ratio of 28.4% to 120%, and that is a significant improvement. Providing SNSM bent bars with strips as a new strengthening technique exhibited better shear performance in terms of crack propagation, and improved shear capacity and ductility compared to other strengthening techniques. Based on the experimental shear behavior, an analytical study, which allows the estimation of the shear capacity of the strengthened beams, was proposed, the results of the experimental and analytical study were comparable by a ratio of 0.91 to 1.15.
Ternary Distributive Structures and Quandles
Elhamdadi, Mohamed,Green, Matthew,Makhlouf, Abdenacer Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.1
We introduce a notion of ternary distributive algebraic structure, give examples, and relate it to the notion of a quandle. Classification is given for low order structures of this type. Constructions of such structures from 3-Lie algebras are provided. We also describe ternary distributive algebraic structures coming from groups and give examples from vector spaces whose bases are elements of a finite ternary distributive set. We introduce a cohomology theory that is analogous to Hochschild cohomology and relate it to a formal deformation theory of these structures.