@article {6872,
	title = {Weighted variable Hardy spaces on domains},
	journal = {Advances in Operator Theory},
	volume = {6},
	number = {56},
	year = {2021},
	abstract = {
	In this paper, we introduce and study the weighted variable Hardy space ondomains. We prove the atomic decompositions of this space, and as application, wefigure out its dual space.

},
	url = {https://doi.org/10.1007/s43036-021-00151-4},
	author = {Melkemi, Oussama and Saibi, Khedoudj and Mokhtari, Zouhir}
}
@article {6868,
	title = {On the global solvability of the axisymmetric Boussinesq system with critical regularity},
	journal = {Nonlinear Analysis},
	volume = {200},
	year = {2020},
	abstract = {The current paper is principally motivated by establishing the global wellposedness to the three-dimensional Boussinesq system with zero diffusivity in thesetting of axisymmetric flows without swirling with v0 ∈ H12(R3) ∩ B˙ 30,1(R3) anddensity ρ0 ∈ L2(R3)∩B˙ 30,1(R3). This respectively enhances the two results recentlyaccomplished in Danchin and Paicu (2008) and Hmidi and Rousset (2010). Ourformalism is inspired, in particular for the first part from Abidi (2008) concerningthe axisymmetric Navier{\textendash}Stokes equations once v0 ∈ H12(R3) and external forcef ∈ L2 loc(R+; Hβ(R3)), with β \&gt; 1 4 . This latter regularity on f which is thedensity in our context is helpless to achieve the global estimates for Boussinesqsystem. This technical defect forces us to deal once again with a similar proof tothat of Abidi (2008) but with f ∈ Lβ loc(R+; L2(R3)) for some β \&gt; 4. Second, weexplore the gained regularity on the density by considering it as an external forcein order to apply the study already obtained to the Boussinesq system.},
	url = {https://doi.org/10.1016/j.na.2020.112003},
	author = {HOUAMED, HAROUNE and Zerguine, Mohamed}
}
@article {doi:10.1080/00036811.2018.1530760,
	title = {Global existence and stability of a nonlinear wave equation with variable-exponent nonlinearities},
	journal = {Applicable Analysis},
	volume = {99},
	number = {8},
	year = {2020},
	pages = {1333-1343},
	publisher = {Taylor \& Francis},
	abstract = {
	In this paper, we consider a nonlinear wave equation with damping and source terms of variable-exponent types. First, we use the stable-set method to prove a global result. Then, by applying an integral inequality due to Komornik, we obtain the stability result.

},
	doi = {10.1080/00036811.2018.1530760},
	url = {https://doi.org/10.1080/00036811.2018.1530760},
	author = {Ghegal, Samah and Hamchi,  Ilhem and Messaoudi, Salim A.}
}
@proceedings {6902,
	title = {The best known interior point algorithm for thec linear optimization},
	journal = {3rd~International Conference on Mathematics and Statistics, February 6-8, American University of Sharijah},
	year = {2020},
	address = {Sharijah, UAE.},
	author = {Djeffal, El-Amir}
}
@article {6870,
	title = {Design of nonstationary wavelets through thepositive solution of Bezout\&$\#$39;s equation},
	journal = {Journal of Interdisciplinary Mathematics },
	volume = {24},
	number = {3},
	year = {2020},
	pages = {1-13 },
	abstract = {
	In this paper, we present a new technique for constructing a nonstationary wavelet. The key idea relies on the following: for each wavelet level, we solve the Bezout{\textquoteright}s equation and we propose a positive solution over the interval [{\textendash}1, 1]. Using the Bernstein{\textquoteright}s polynomials we approximate this proposed positive solution with the intention to perform a spectral factorization.

},
	url = {DOI:10.1080/09720502.2020.1792102 },
	author = {Brahimi , Mahmoud and Melkemi, Khaled and Boussaad, Abdelmallk}
}
@article {6869,
	title = {Coupled System of Nonlinear HyperbolicEquations with Variable-Exponents: GlobalExistence and Stability},
	journal = {Mediterr. J. Math},
	volume = {17},
	number = {166},
	year = {2020},
	abstract = {
	In this paper, we consider a coupled system of two nonlinearhyperbolic equations with variable-exponents in the damping and sourceterms. Under suitable assumptions on the intial data and the variableexponents, we prove a global existence theorem, using the Stable-setmethod. Then, we establish a decay estimate of the solution energy, byKomornik{\textquoteright}s integral approach.

},
	url = {https://doi.org/10.1007/s00009-020-01589-1},
	author = {Bouhoufani , Oulia and Hamchi,  Ilhem}
}
@article {6867,
	title = {ON THE GLOBAL WELL-POSEDNESS OF THEAXISYMMETRIC VISCOUS BOUSSINESQ SYSTEM INCRITICAL LEBESGUE SPACES},
	journal = {DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS},
	volume = {40},
	number = {11},
	year = {2020},
	pages = { 6473-6506},
	abstract = {
	The contribution of this paper will be focused on the global existence and uniqueness topic in three-dimensional case of the axisymmetric viscous Boussinesq system in critical Lebesgue spaces. We aim at deriving analogous results for the classical two-dimensional and three-dimensional axisymmetric Navier-Stokes equations recently obtained in [19, 20]. Roughly speaking, we show essentially that if the initial data (v0; ρ0) is axisymmetricand (!0; ρ0) belongs to the critical space L1({\textohm}) {\texttimes}L1(R3), with !0 is the initialvorticity associated to v0 and {\textohm} = f(r; z) 2 R2 : r \&gt; 0g, then the viscousBoussinesq system has a unique global solution.

},
	url = { doi:10.3934/dcds.2020287},
	author = {Hanachi, Adalet and HOUAMED, HAROUNE and Zerguine, Mohamed}
}
@proceedings {6907,
	title = {Existence of solution for nonlinear wave equation with variable exponents},
	journal = {Journ{\'e}e Nationale sur les Math{\'e}matiques Appliqu{\'e}es (JNMA{\textquoteright}1.9)},
	year = {2019},
	author = {Abdelhadi, Soumia}
}
@proceedings {6901,
	title = {An efficient procedure interior point method based on a new kernel function for linear complemntarity problem},
	journal = {25th~International Conference on Multiple Criteria Decision-Making(ICMCDM 2019),jun, 16-21,  Istanbul Technical University,},
	year = {2019},
	address = {Istanbul, Turkey},
	author = {Djeffal, El-Amir}
}
@proceedings {6900,
	title = {A projective methods to nsolvean optimization problem},
	journal = {3{\`e}me Colloque International sur la Th{\'e}orie des Op{\'e}rateurs, EDP et ses Applications(CITO{\textquoteright}2019, ), 24-25 avril ,},
	year = {2019},
	address = {El oud, Alg{\'e}rie},
	author = {Djeffal, El-Amir}
}
@article {math7100984,
	title = {Fractional Order Unknown Inputs Fuzzy Observer for Takagi{\textendash}Sugeno Systems with Unmeasurable Premise Variables},
	journal = {Mathematics},
	volume = {7},
	number = {10},
	year = {2019},
	abstract = {This paper presents a new procedure for designing a fractional order unknown input observer (FOUIO) for nonlinear systems represented by a fractional-order Takagi\&ndash;Sugeno (FOTS) model with unmeasurable premise variables (UPV). Most of the current research on fractional order systems considers models using measurable premise variables (MPV) and therefore cannot be utilized when premise variables are not measurable. The concept of the proposed is to model the FOTS with UPV into an uncertain FOTS model by presenting the estimated state in the model. First, the fractional-order extension of Lyapunov theory is used to investigate the convergence conditions of the FOUIO, and the linear matrix inequalities (LMIs) provide the stability condition. Secondly, performances of the proposed FOUIO are improved by the reduction of bounded external disturbances. Finally, an example is provided to clarify the proposed method. The obtained results show that a good convergence of the outputs and the state estimation errors were observed using the new proposed FOUIO.},
	issn = {2227-7390},
	doi = {10.3390/math7100984},
	url = {https://www.mdpi.com/2227-7390/7/10/984},
	author = {Djeddi, Abdelghani and Dib, Djalel and Azar, Ahmad Taher and Abdelmalek, Salem}
}
@article {6879,
	title = {Fractional Order Unknown Inputs Fuzzy Observer for Takagi\&ndash;Sugeno Systems with Unmeasurable Premise Variables},
	journal = {Mathematics },
	volume = {7},
	number = {10},
	year = {2019},
	abstract = {
	This paper presents a new procedure for designing a fractional order unknown input observer (FOUIO) for nonlinear systems represented by a fractional-order Takagi{\textendash}Sugeno (FOTS) model with unmeasurable premise variables (UPV). Most of the current research on fractional order systems considers models using measurable premise variables (MPV) and therefore cannot be utilized when premise variables are not measurable. The concept of the proposed is to model the FOTS with UPV into an uncertain FOTS model by presenting the estimated state in the model. First, the fractional-order extension of Lyapunov theory is used to investigate the convergence conditions of the FOUIO, and the linear matrix inequalities (LMIs) provide the stability condition. Secondly, performances of the proposed FOUIO are improved by the reduction of bounded external disturbances. Finally, an example is provided to clarify the proposed method. The obtained results show that a good convergence of the outputs and the state estimation errors were observed using the new proposed FOUIO.

},
	url = {https://www.mdpi.com/2227-7390/7/10/984},
	author = {Djeddi, Abdelghani and Dib, Djalel and Azar, Ahmad-Taher and Abdelmalek, Salem}
}
@article {6877,
	title = {LOCAL PERSISTENCE OF GEOMETRIC STRUCTURES FOR BOUSSINESQ SYSTEM WITH ZERO VISCOSITY},
	volume = {71},
	number = {4},
	year = {2019},
	pages = {285-303},
	abstract = {
	The current paper deals with the local well-posedness problem for the twodimensional partial viscous Boussinesq system when the initial vorticity belongs to the patch class. We prove in particular some results concerning the regularity persistence of the patch boundary and establish the convergence towards the inviscid limit when the molecular diffusivity goes to zero.\&nbsp;

},
	url = {https://www.semanticscholar.org/paper/LOCAL-PERSISTENCE-OF-GEOMETRIC-STRUCTURES-FOR-WITH-Meddour/7c88a7238d20ec8dc425052e106ca8e889112afa},
	author = {Meddour, Halima}
}
@article {6874,
	title = {Kernel function-based interior-point algorithms for linear optimisation},
	journal = {International Journal of Mathematical Modelling and Numerical Optimisation },
	volume = {9},
	number = {2},
	year = {2019},
	pages = {158},
	abstract = {
	We propose a primal-dual interior-point algorithm for linear optimisation based on a class of kernel functions which is eligible. New search directions and proximity measures are defined based on these functions. We derive the complexity bounds for large and small-update methods respectively. These are currently the best known complexity results for such methods.

},
	url = {https://www.inderscienceonline.com/doi/abs/10.1504/IJMMNO.2019.098785},
	author = {Bounibane, Bachir and Djeffal, El-Amir}
}
@proceedings {6906,
	title = {Global existence of a non linear wave equation with variable damping and source terms,},
	journal = {Congr{\`e}s des Math{\'e}matiques Alg{\'e}riens (CMA{\textquoteright}2018)},
	year = {2018},
	author = {Ghegal, Samah}
}
@proceedings {6905,
	title = {Blow up of the wave equation with nonlinear first order perturbation},
	journal = {The 7 th Abu Dhabi University Annual International Conference (ADUAIC{\textquoteright}18)},
	year = {2018},
	author = {~Abdelhadi, Soumia}
}
@proceedings {6904,
	title = {Blowup of second order hyperbolic equation with variable damping and source terms},
	journal = {International Conference on Operator Theory (ICOT{\textquoteright}2018)},
	year = {2018},
	author = {Abdelhadi, Soumia}
}
@proceedings {6903,
	title = {Stability of a non linear wave equation with variable damping and source terms},
	journal = {International Conference on Operator Theory (ICOT{\textquoteright}2018)},
	year = {2018},
	author = {Ghegal, Samah}
}
@proceedings {6899,
	title = {A full Newton step interior point method for circular cone optimization},
	journal = {International Conference on Operator Theory(~ICOT-2018), 30 April-03 May,},
	year = {2018},
	address = {Hammamet, Tunisia},
	author = {Djeffal, El-Amir}
}
@proceedings {6898,
	title = {An interior point algorithm for the p*(k) matrix horizontal LCP},
	journal = {International Conference on Advances in Applied Mathematics(ICAAM 2017),~December 18-21},
	year = {2017},
	address = {Hammamet, Tunisia},
	author = {Djeffal, El-Amir}
}
@proceedings {6897,
	title = {Interior \&ndash;point algorithm for HLCPs based on new trigonometric kernel function},
	journal = {International Conference on Applied Analysis and Mathematical Modeling(~ICAAMM 2017), july 03-07, Istanbul Gelisim University},
	year = {2017},
	address = { Istanbul, Turkey.},
	author = {Djeffal, El-Amir}
}
@article {6890,
	title = {Boundedness and asymptotic behavior of solutions for a diffusive epidemic model},
	journal = {Mathematical Methods in the Applied Sciences},
	volume = {40},
	number = {4},
	year = {2017},
	pages = {970-978},
	abstract = {
	The aim of this paper is to study the existence and the asymptotic behavior of solutions for some reaction{\textendash}diffusion equations arising in epidemic biology phenomena. We will show that for a rather broad class of nonlinearities, the solutions are global and uniformly bounded, and under suitable assumptions on the parameters of the system, these solutions converge as time goes to infinity to a disease-free equilibrium point.

},
	url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.4029},
	author = {Touil, Asma and Youkana, Amar}
}
@article {6880,
	title = {On the global asymptotic stability of solutions to a genua\&$\#$39;isedLeiigyol-Epsteiii svslctn},
	journal = {Nonlinear Analysis: Real World Applications},
	year = {2017},
	abstract = {
	This paper presents {\`a} I-engye-tpsteiu System with a general reaction term. Itis concerned with the global dynamics And asymptotic stability of the solutionsSufficient conditions for the stability of the system{\textquoteright}s unique - teady state -iolutionarc derived and confirmed through numerical analysts ir Matlab

},
	author = {Abdelmalek, Salem and Bendoukha, Samir}
}
@article {6878,
	title = {Coexistence of some chaos synchronization types in fractional-order differential equations},
	journal = {Electronic Journal of Differential Equations},
	volume = {128},
	year = {2017},
	pages = {1-15},
	abstract = {
	Referring to incommensurate and commensurate fractional systems, this article presents a new approach to investigate the coexistence of some synchronization types between non-identical systems characterized by different dimensions and different orders. In particular, the paper shows that complete synchronization (CS), anti-synchronization (AS) and inverse full state hybrid function projective synchronization (IFSHFPS) coexist when synchronizing a three-dimensional master system with a four-dimensional slave system. The approach is based on two new results involving stability theory of linear fractional systems and the fractional Lyapunov method. A number of examples are provided to highlight the applicability of the method.

},
	url = {https://digital.library.txstate.edu/handle/10877/15730},
	author = {Ouannas, Adel and Abdelmalek, Salem and Bendoukha, Samir}
}
@article {6875,
	title = {Image denoising using new wavelet thresholding function},
	journal = {Journal of Applied Mathematics and Computational Mechanics },
	volume = {16},
	number = {2},
	year = {2017},
	pages = {55-65},
	abstract = {
	In this paper, we propose a new image denoising method based on wavelet thresholding In this method , we introduce a new nonlinear thresholding function characterized by a shape parameter and basic properties These characteristics make the new method able to achieve a compromise between both traditional thresholding techniques such as Hard and Soft thresholding The experimental results show that our proposed method provides better performance compared to many classical thresholding methods in terms of the visual quality of the denoised image.

},
	url = {https://amcm.pcz.pl/?id=view\&volume=16\&issue=2\&article=5},
	author = {Dehda, Bachir and Melkemi, Khaled}
}
@article {6873,
	title = {Memory boundary feedback stabilization for Schr{\"o}dinger equations with variable coefficients},
	journal = { Electronic Journal of Differential Equations},
	volume = {129},
	year = {2017},
	pages = {1-14},
	abstract = {
	First we consider the boundary stabilization of Schr{\"o}dinger equations with constant coefficient memory feedback. This is done by using Riemannian geometry methods and the multipliers technique. Then we explore the stabilization limits of Schr{\"o}dinger equations whose elliptical part has a variable coefficient. We established the exponential decay of solutions using the multipliers techniques. The introduction of dissipative boundary conditions of memory type allowed us to obtain an accurate estimate on the uniform rate of decay of the energy for Schr{\"o}dinger equations.

},
	url = {https://digital.library.txstate.edu/handle/10877/15731},
	author = {Abdesselam, Nawel and Melkemi, Khaled}
}
@article {6915,
	title = {A path following interior-point algorithm for semidefinite optimization problem based on new kernel function},
	journal = {Journal of Mathematical Modeling},
	volume = {4},
	number = {1},
	year = {2016},
	pages = {35-58},
	url = {https://jmm.guilan.ac.ir/article_1805.html},
	author = {Djeffal, El-Amir and Djeffal, Lakhdar}
}
@proceedings {6896,
	title = {A projective interior point algorithm for the linear complementarity problem},
	journal = {International Conference on Advances in Applied Mathematics(ICAAM 2016), 19-22 D{\'e}cembre2},
	year = {2016},
	address = { Monastir, Tunisia},
	author = {Djeffal, El-Amir}
}
@proceedings {6895,
	title = {A modified newton direction for the linear optimization problem},
	journal = {2{\`e}me Colloque International sur la Th{\'e}orie des Op{\'e}rateurs, EDP et ses Applications, 23-24 novembre (CITO{\textquoteright}2016)},
	year = {2016},
	address = {El oud, Alg{\'e}rie},
	author = {Djeffal, El-Amir}
}
@proceedings {6894,
	title = {A new approach of the cutting plane algorithm using interior point method},
	journal = {2nd~International Conference on Analysis and its Application(ICAA{\textquoteright}2016), July-12-15},
	year = {2016},
	address = {Kirsehir, Turkey},
	author = {Djeffal, El-Amir}
}
@conference {6876,
	title = {New Complexity Analysis of the Path Following Method for Linear Complementarity Problem},
	booktitle = {Intelligent Mathematics II: Applied Mathematics and Approximation Theory},
	volume = {441},
	year = {2016},
	pages = { 87{\textendash}104},
	abstract = {
	In this paper, we present an interior point algorithm for solving an optimization problem using the central path method. By an equivalent reformulation of the central path, we obtain a new search direction which targets at a small neighborhood of the central path. For a full-Newton step interior-point algorithm based on this search direction, the complexity bound of the algorithm is the best known for linear complementarity problem. For its numerical tests some strategies are used and indicate that the algorithm is efficient.

},
	url = {https://link.springer.com/chapter/10.1007/978-3-319-30322-2_6},
	author = {Djeffal, El-Amir and Djeffal, Lakhdar and Benoumelaz, Farouk}
}
@proceedings {6893,
	title = {Theoritical and numerical study of interior point methods for semi definite quadratic optimization based on kernel function},
	journal = {International Conference on Advances in Applied Mathematics (ICAAM 2015)~December 21-24, },
	year = {2015},
	address = {Hammamet, Tunisia.},
	author = {Djeffal, El-Amir}
}
@article {6892,
	title = {EXISTENCE OF GLOBAL SOLUTIONS FOR A GIERER-MEINHARDT SYSTEM WITH THREE EQUATIONS},
	journal = {Electronic Journal of Differential Equations},
	volume = {2012},
	number = {50},
	year = {2012},
	pages = {1{\textendash}8},
	abstract = {
	This articles shows the existence of global solutions for a GiererMeinhardt model of three substances described by reaction-diffusion equations with fractional reactions. Our technique is based on a suitable Lyapunov functional.

},
	url = {http://www.kurims.kyoto-u.ac.jp/EMIS/journals/EJDE/Volumes/2012/55/abdelmalek.pdf},
	author = {Abdelmalek, Salem and Louafi, Hichem and Youkana, Amar}
}
