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Communications in Theoretical Physics 2024年第4期76卷 113-125页

作者： Faizuddin Ahmed abdelmalek.bouzenada Department of Physics University of Science&Technology MeghalayaRi-Bhoi793101India Laboratory of theoretical and applied Physics Echahid Cheikh Larbi Tebessi UniversityAlgeria

In our investigation,we explore the quantum dynamics of charge-free scalar particles through the Klein–Gordon equation within the framework of rainbow gravity,considering the Bonnor–Melvin-Lambda(BML)space-time *** BML solution is characterized by the magnetic field strength along the axis of the symmetry direction which is related to the cosmological constantΛand the topological parameterαof the *** behavior of charge-free scalar particles described by the Klein–Gordon equation is investigated,utilizing two sets of rainbow functions:(i)f(χ)=■,h(χ)=1 and(ii)f(χ)=1,h(χ)=1+βХ/*** 0<(Х=■)≤1 with E representing the particle's energy,Ep is the Planck's energy,andβis the rainbow *** obtain the approximate analytical solutions for the scalar particles and conduct a thorough analysis of the obtained ***,we study the quantum dynamics of quantum oscillator fields within this BML space-time,employing the Klein–Gordon *** also,we choose the same sets of rainbow functions and obtain the approximate eigenvalue solution for the oscillator ***,we demonstrate that the relativistic approximate energy profiles of charge-free scalar particles and oscillator fields get influenced by the topology of the geometry and the cosmological ***,we show that the energy profiles of scalar particles receive modifications from the rainbow parameter and the quantum oscillator fields by both the rainbow parameter and the frequency of oscillation.

关键词： quantum fields in curved space-time relativistic wave equations solutions of wave equations bound-state special functions

An inverse method for characterization of dynamic response of 2D structures under stochastic conditions

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Chinese Journal of Aeronautics 2024年第3期37卷 440-455页

作者： Xuefeng LI abdelmalek ZINE Mohamed ICHCHOU Noureddine BOUHADDI Pascal FOSSAT Laboratory of Tribology and Systems Dynamic Central School of LyonEcully 69134France Institut Camille Jordan Central School of LyonEcully 69134France Department of Applied Mechanics University of Burgundy Franche-ComtéBesancon 25000France

The reliable estimation of the wavenumber space(k-space)of the plates remains a longterm concern for acoustic modeling and structural dynamic behavior *** current analyses of wavenumber identification methods are based on the deterministic *** this end,an inverse method is proposed for identifying wave propagation characteristics of twodimensional structures under stochastic conditions,such as wavenumber space,dispersion curves,and band *** proposed method is developed based on an algebraic identification scheme in the polar coordinate system framework,thus named Algebraic K-Space Identification(AKSI)***,a model order estimation strategy and a wavenumber filter are proposed to ensure that AKSI is successfully *** main benefit of AKSI is that it is a reliable and fast method under four stochastic conditions:(A)High level of signal noise;(B)Small perturbation caused by uncertainties in measurement points’coordinates;(C)Non-periodic sampling;(D)Unknown structural *** validate the proposed method,we numerically benchmark AKSI and three other inverse methods to extract dispersion curves on three plates under stochastic *** experiment is then performed on an isotropic steel *** investigations demonstrate that AKSI is a good in-situ k-space estimator under stochastic conditions.

关键词： Inverse method Dispersion relation Wavenumber space Periodic plates Stochastic conditions Wave propagation characterization

Modeling of a Smart Nano Force Sensor Using Finite Elements and Neural Networks

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International Journal of Automation and computing 2020年第2期17卷 279-291页

作者： Farid Menacer abdelmalek Kadr Zohir Dibi Advanced Electronics Laboratory Department of ElectronicsUniversity of BatnaAvenue Chahid Boukhlouf Mohamed El HadiBatna 05000Algeria

The aim of this work is to model and analyze the behavior of a new smart nano force *** do so,the carbon nanotube has been used as a suspended gate of a metal-oxide-semiconductor field-effect transistor(MOSFET).The variation of the applied force on the carbon nanotube(CNT)generates a variation of the capacity of the transistor oxide-gate and therefore the variation of the threshold voltage,which allows the MOSFET to become a capacitive nano force *** sensitivity of the nano force sensor can reach 0.12431V/*** sensitivity is greater than results in the *** have found through this study that the response of the sensor depends strongly on the geometric and physical parameters of the *** the results obtained in this study,it can be seen that the increase in the applied force increases the value of the MOSFET threshold voltage *** this paper,we first used artificial neural networks to faithfully reproduce the response of the nano force sensor *** neural model is called direct ***,secondly,we designed an inverse model called an intelligent sensor which allows linearization of the response of our developed force sensor.

关键词： Nano force sensor carbon nanotube(CNT) finite elements neural network

Wave propagation analysis for a second strain gradient rod theory

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Chinese Journal of Aeronautics 2020年第10期33卷 2563-2574页

作者： Guang ZHU Christophe DROZ abdelmalek ZINE Mohamed ICHCHOU Vibroacoustics&Complex Media Research Group LTDS–CNRS UMR 5513Centre Lyonnais d’Acoustique CeLyAEcole Centrale de LyonUniversite de LyonFrance Institute Camille Jordan–CNRS UMR 5208 Ecole Centrale de LyonFrance

In this work,an enriched model describing the longitudinal wave propagation is established based on Mindlin’s Second Strain Gradient(SSG)theory,which can describe the heterogeneity caused by the micro-structure interactions in the frame of continuum *** governing equation and associated boundary conditions are derived based on Hamilton’s principle,then the dispersion relation of non-classical longitudinal wave together with the extra-waves appearing exclusively in SSG theory model are *** investigations are based on the modal density,energy flow,and forced response of the *** transmission and reflection through planar interfaces based on the proposed model have been ***,the results of the enriched model are well interpreted by comparing with the classical theory results,and some useful conclusions are derived on the SSG theory based model in the wave propagation characterization.

关键词： Dynamic behavior Energy flow Enriched rod model Reflection and transmission Second strain gradient theory Wave propagation features

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED SYSTEMS VIA A LYAPUNOV FUNCTIONAL

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Acta Mathematica Scientia 2019年第6期39卷 1538-1550页

作者： Lamia DJEBARA Salem abdelmalek Samir BENDOUKHA Department of Mathematics and Computer Science ICOSI LaboratoryUniversity of KhenchelaKhenchela04000Algeria Department of Mathematics and Informatics Faculty of Exact Sciences and Natural Sciences and LifeUniversity of Larbi TebessiTebessa12002Algeria Electrical Engineering Department College of Engineering at YanbuTaibah UniversitySaudi Arabia

The purpose of this work is to study the global existence and asymptotic behavior of solutions to a coupled reaction-diffusion system describing epidemiological or chemical situations. Our analytical proofs are based ... 详细信息

关键词： epidemic model reaction-diffusion global existence of solutions asymptotic stability

Global asymptotic stability for a SEI reaction-diffusion model of infectious diseases with immigration

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International Journal of Biomathematics 2018年第3期11卷 289-305页

作者： Salem abdelmalek Samir Bendoukha Department of Mathematics University of Tebessa 12002 Algeria Department of Electrical Engineering College of Engineering Yanbu Taibah University Saudi Arabia

This paper studies the local and global stability of solutions for a spatially spread SEI epidemic model with immigration of individuals using a Lyapunov functional. It is shown that in the presence of diffusion, the unique steady state remains globally stable. Numerical results obtained through Matlab simulations are presented to confirm the findings of this study.

关键词： SEI epidemic model reaction-diffusion global asymptotic stability Lyapunov functional.

ELASTIC MEMBRANE EQUATION WITH MEMORY TERM AND NONLINEAR BOUNDARY DAMPING:GLOBAL EXISTENCE,DECAY AND BLOWUP OF THE SOLUTION

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Acta Mathematica Scientia 2013年第1期33卷 84-106页

作者： Abderrahmane ZARA Nasser-eddine TATAR Salem abdelmalek Depatment of Mathematics and Informatic Cheikh El Arbi Tébessi University12002 TébessaAlgeria Depatment of Mathematics and Statistics King Fahd University of Petroleum and MineralsDhahran 31261Saudi Arabia Depatment of Mathematics College of SciencesYanbuTaibah UniversitySaudi Arabia

In this paper we consider the Elastic membrane equation：with memory term and nonlinear boundary damping： Under some appropriate assumptions on the relaxation function h and with certain initial data, the global existence of solutions ：and a general decay for the energy are established using the multiplier technique. Also, ＇we show that a nonlinear source of polynomial type is able to force solutions to blow up in finite time even in presence of a nonlinear damping.

关键词： elastic membrane equation global existence boundary damping boundarysource general decay blowup

Competitive Contribution of Catalyst and Adsorption Roles of TiO_2 on the Degradation of AO7 Dye During Plasma Treatment

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Plasma Science and Technology 2013年第9期15卷 915-922页

作者： Nabila HADDOU Moufok Redounae GHEZZAR Fatiha abdelmalek Stephanie OGNIER Ahmed ADDOU Laboratory of Science and Technical Environment and Valorization University of Mostaganem Laboratory of Process Engineering and Surface Treatment National School of ChemistryUniversity of Pierre and Marie Curie

In order to investigate the role of TiO2 during plasma treatment, the degradation of the dye AO7 has been studied by gliding arc discharge in the presence of a TiO2 catalyst （CGAD）. The results revealed that the adsorption of the dye on TiO2 is a physical adsorption in accordance with Langmuir isotherm, with a constant of adsorption KL ： 0.52 mg/L and a maximum adsorption capacity b = 18.1 mg/g. The temperature variation of the reaction medium made it possible to consider thermodynamic parameters. Indeed, the adsorption is exothermic （enthalpy： △H 〈 0）, and spontaneous （free enthalpy： △G 〈 0）. The negative entropy （△S 〈 0） confirms the affinity of the dye molecules for TiO2. 20 min of CGAD treatment in the pres- ence of an optimal quantity of TiO2 （2 g/L enabled us to bleach the solution of AO7 （100 μM） completely. The discoloration rate with and without the addition of TiO2 was 100% and 28%, respectively. 40 additional minutes of treatment allowed a total abatement of the chemical oxy- gen demand. The elimination of AO7 molecules during the plasma-catalytic treatment follows Langmuir-Hinshelwood （L-H） model kinetics. According to this model, the speed constant is kr = 14.97 mg-L-1 ·min-1 and the adsorption coefficient is KL-H= 0.010 L/mg. The latter being negligible compared to kr, adsorption is therefore weakly performed during the plasma treatment.

关键词： adsorption catalysis AO7 gliding arc discharge TiO_2 degradation

Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation

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Chinese Annals of Mathematics,Series B 2013年第3期34卷 333-344页

作者： Jean-Michel CORON Jesǘs Ildefonso DIAZ abdelmalek DRICI Tommaso MINGAZZINI Institut Universitaire de France and Universit Pierre et Marie Curie (Paris 6) UMR 7598 Laboratoire Jacques-Louis Lions 4 place Jussieu F-75252 Paris cedex 5 France Universidad Complutense de Madrid Instituto de Matemtica Interdisiplinar and Dpto. de Matemtica Aplicada Plaza de las Ciencias 3 28040 Madrid Espaa Universit Pierre et Marie Curie (Paris 6) UMR 7598 Laboratoire Jacques-Louis Lions 4 place Jussieu F-75252 Paris cedex 5 France Universidad Complutense de Madrid Dpto. de Matemtica Aplicada Plaza de las Ciencias 3 28040 Madrid Espaa

The authors prove the global null controllability for the 1-dimensional nonlinear slow diffusion equation by using both a boundary and an internal control. They assume that the internal control is only time dependent. The proof relies on the return method in combination with some local controllability results for nondegenerate equations and rescaling techniques.

关键词： Nonlinear control Nonlinear slow diffusion equation Porous mediumequation

Asymptotic properties of a nonparametric conditional density estimator in the local linear estimation for functional data via a functional single-index model

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Statistical Theory and Related Fields 2022年第3期6卷 208-219页

作者： Fadila Benaissa abdelmalek Gagui Abdelhak Chouaf University Oran 1 Ahmed Ben Bella Oran OranAlgeria Laboratory of Statistics and Stochastic Processes Djillali Liabes UniversitySidi Bel AbbesAlgeria

This paper deals with the conditional density estimator of a real response variable given a functional random variable(i.e.,takes values in an infinite-dimensional space).Specifically,we focus on the functional index model,and this approach represents a good compromise between nonparametric and parametric *** we give under general conditions and when the variables are independent,the quadratic error and asymptotic normality of estimator by local linear method,based on the single-index ***,wecomplete these theoretical advances by some simulation studies showing both the practical result of the local linear method and the good behaviour for finite sample sizes of the estimator and of the Monte Carlo methods to create functional pseudo-confidence area.

关键词： Mean squared error single functional index conditional density function nonparametric estimation local linear estimation asymptotic normality functional data