Journal Articles

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Open Access
New Method for Constructing Exact Solutions to Nonlinear PDEs
(Université de M'sila, 2009-03-18) Arioua, Yacine; Benhamidouche, Nouredine
We propose in this paper a new approach to construct exact solutions of nonlinear PDEs. The method used is called ”the travelling profiles method”. The travelling profiles method enables us to obtain many exact solutions to large classes of nonlinear PDEs.
Open Access
CONTINUITY OF THE FREE BOUNDARY IN ELLIPTIC PROBLEMS WITH NEUMAN BOUNDARY CONDITION
(Université de M'sila, 2015) SAADI, ABDERACHID
We show the continuity of the free boundary in a class of two dimensional free boundary problems with Neuman boundary condition, which includes the aluminium electrolysis problem and the heterogeneous dam problem with leaky boundary condition
Open Access
Traveling pro les solutions to heat equation with a power-law nonlinearity
(Université de M'sila, 2015-05-14) Arioua, Yacine; Benhamidouche, Nouredine
We propose in this work a new approach to obtain a general form of self similar solutions to heat equation with a power-law nonlinearity. We use the ”traveling profiles method”. This method is inspired of the traveling wavelets method which belongs to the category of the particular methods. The traveling profiles method enables us to obtain many explicit exact solutions to this equation.
Open Access
On the Composition Ideals of Schatten Class Type Mappings
(Université de M'sila, 2016) Belaada, Abdelaziz; Saadi, Khalil; Tiaiba, Abdelmoumen
We study the composition ideals of multilinear and polynomial mappings generated by Schatten classes.We give some coincidence theorems for Cohen strongly 2-summing multilinear operators and factorization results like that given by Lindenstrauss-Pełcznski for Hilbert Schmidt linear operators
Open Access
Valeurs moyennes d’une fonction liée aux diviseurs d’un nombre entier
(Université de M'sila, 2016) AbdallahDerbal; MeselemKarras
Soient d(n)et d∗(n)le nombre de diviseurs et le nombre de diviseurs unitaires de l’entier n, et posons S(x) = n≤xD(n) = n≤xd(n)d∗(n)(x≥1). Un diviseur dd’un entier nest dit unitaire s’il est premier avec nd. Dans cet article, nous montrons que S(x) ∼Ax (x→+∞), où A =π26 p 1−12p2+12p3 =1,4276565 ···, et que pour tout x ≥1, S(x) =Ax +R (x), tel que |R (x)| ≤ 3 2 ζ 3 2 x 12 + 5 4 ζ 2 3 x 1 3 + O x 1 5 . ©2016 Académie des sciences. Publié par Elsevier Masson SAS. Tousdroitsréservés
Open Access
BOUNDARY VALUE PROBLEM FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS
(Université de M'sila, 2017) Arioua, Yacine; Benhamidouche, Nouredine
The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain. We used the standard and Krasnoselskii’s fixed point theorems. Some new results of existence and uniqueness solutions for Caputo-Hadamard fractional equations are obtained.
Open Access
Boundary Control and Stabilization of an Axially Moving Viscoelastic String under a Boundary Disturbance
(Université de M'sila, 2017) Abdelkarim Kelleche
In this paper, we consider a system modelling an axially moving vis- coelastic string subject to an unknown boundary disturbance. It is controlled by a hydraulic touch-roll actuator at the right boundary which is capable of suppressing the transverse vibrations that occur during the movement of the string. The mul- tiplier method is employed to design a robust boundary control law to ensure the reduction of the transvesre vibrations of the string.
Open Access
A variational form with Legendre series for linear integral equations
(Université de M'sila, 2017-12-12) NADIR, Mostefa; LAKEHALI, Belkacem
In this work, we seek the approximate solution of integral equations by truncation Legendre series approximation using a variational form for the equation. this one is reduced to a linear system where the solution of this latter gives the Legendre coefficients and thereafter the solution of the equation.The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others.
Open Access
ADAPTED SOLUTION WITH NEWTON-KANTOROVICH METHOD FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS
(Université de M'sila, 2018) AMINA, KHIRANI
Find an approximate solution is one of the most important problems in our days, in this paper we look for an approximate solution for Volterra nonlinear integral equation using a combination between Newton-Kantorovich method and adapted trapezoidal method. Then we do a comparaison between the numerical results obtained by this method against ones obtained by another authors.
Open Access
Quadratic numerical treatment for singular integral equations with logarithmic kernel
(Université de M'sila, 2018) Nadir, Mostefa; Gagui, Bachir
The goal of this paper is to present a direct method for an approximative solution of a weakly singular integral equations (WSIE) with logarithmic kernel on a piecewise smooth integration path using a modified quadratic spline approximation, we also show that this approximation gives an efficient approach to the analytical solution of WSIE.
Open Access
ANISOTROPIC SINGULAR PERTURBATIONS OF VARIATIONAL INEQUALITIES
(Université de M'sila, 2018-02) Sengouga, Abdelmouhcene; Guesmia, Senoussi; Michel, Chipot
We consider variational inequalities involving the p{ Laplace operator with anisotropic singular perturbations where the convex set, on which the problem is de ned, is also subject to perturbations. This leads to introduce a new convergence of sets, in some suitable sense, conceived from the Mosco convergence and matching well to the anisotropic singular perturbations. Convergence results and their rates are established. In order to illustrate the introduced convergence sets, obstacle and elasto-plastic perturbed problems are dealt with. This allows to go deeper in the analysis of the suggested convergence on concrete sets in Sobolev spaces.
Open Access
انعكاسات الأزمة السورية على نمط إدارة الأزمات الدولية
(Université de M'sila, 2018-06-17) عجابي, الياس
من الصعب بما كان القيام بعملية تقييم نظام عمل منظمة دولية بحجم منظمة الأمم المتحدة لأنها مسألة صعبة ومعقدة قد تنطوي على التحكم تبعا لطبيعة الزاوية التي ستقيم بموجبها المنظمة، سواء من الناحية النظرية والمتعلقة بأحكام الميثاق الأممي وما تمليه علينا من شرعية دولية، أو من الناحية التطبيقية والمرتبطة بالممارسة العملية ومدى نجاعة قرارات أجهزة المنظمة الدولية في القيام بمسؤولياتها في إدارة الأزمات الدولية وعلى الخصوص قرارات مجلس الأمن صاحب الإختصاص الأصيل في ذلك، فلا تخلو أي دراسة متخصصة في هذا المجال من توجيه الانتقادات لهذا النظام بسبب العجز تارة والفشل تارة أخرى في مواجهة تحديات الأزمة السورية. غير أن هذا الفشل لا يمكن أن يفهم ولو من الناحية النظرية على أنه فشل لآليات النظام الأممي في القيام بمسؤولياته بقدر ما هو فشل للدول الفاعلة في هذا النظام بحكم عضويتها فيه، لذلك فإن أي انتقاد يجب أن يوجه للفاعلين الدوليين المشكلين لهذا النظام الذين يسعون للخروج عن متطلبات الشرعية الدولية التي تفرضها عليهم أحكام الميثاق الأممي.
Open Access
On the Noetherian Properties of Reduction System of Words
(Université de M'sila, 2018-12) Ghadbane, Nacer
For any set of symbols, denotes the set of all words of symbols over , including the empty string . The set denotes the free monoid generated by under the operation of concatenation with the empty string serving as identity. Let R be a nite set. We de ne the binary relation )R as follows, where u; v 2 : u)R v if there exist x; y 2 and (l;m) 2 R with u = xly and v = xmy. The structure ;)R is a reduction system of words and the relation )R is the reduction relation. Let ;)R be a reduction system of words. The relation )R is Noetherian if there is no in nite sequence w0;w1; ::: 2 such that for all i 0;wi)R wi+1. In this paper, we study properties of reduction systems of words and give conditions under which a reduction system of word is Noetherian.
Open Access
Initial value problem for nonlinear implicit fractional differential equations with Katugampola derivative
(Université de M'sila, 2019) Basti, Bilal
This work studies the existence and uniqueness of solutions for a class of nonlinear implicit fractional differential equations via the Katugampola fractional derivatives with an initial condition. The arguments for the study are based upon the Banach contraction principle, Schauders fi xed point theorem and the nonlinear alternative of Leray-Schauder type.
Open Access
MORE ON INTUITIONISTIC FUZZY SUBLATTICES AND THEIR IDEALS
(2019) Abdelaziz Amroune; Brahim Ziane
In this work, we have introduced the notion of T -intuitionistic fuzzy sublattice by associating the conditions mentioned in the definition of intuitionistic fuzzy sublattice [22, 23]. So a new equivalent definition is obtained which reduces the four conditions in only one. Thus, based on an intuitionistic fuzzy triangular norm, the study of intuitionistic fuzzy sublattices becomes so simple. Moreover, we extend the notion of an intuitionistic fuzzy ideal to a T -intuitionistic fuzzy ideal w.r.t the lattice operations and we investigate their various characterizations and properties. Future work is anticipated in multiple directions. We think it makes sense to study the notions of intuitionistic fuzzy prime ideals and intuitionistic fuzzy filters for other types of lattices based on the intuitionistic fuzzy setting
Open Access
New class of boundary value problem for nonlinear fractional di erential equations involving Erdélyi-Kober derivative
(Université de M'sila, 2019) Yacine, Arioua,; Maria, Titraoui
In this paper, we introduce a new class of boundary value problem for nonlinear fractional di erential equations involving the Erdélyi- -Kober di erential operator on an in nite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii xed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.
Open Access
Quasilinear parabolic equations with p(x)-Laplacian di usion terms and nonlocal boundary conditions
(Université de M'sila, 2019) Abita, Rahmoune
In this study, we prove the existence of local solution for a quasi linear generalized parabolic equation with nonlocal boundary conditions for an elliptic operator involving the variable-exponent nonlinearities, using Faedo-Galerkin arguments and compactness method.
Open Access
ESSENTIAL APPROXIMATE POINT AND ESSENTIAL DEFECT SPECTRUM OF A SEQUENCE OF LINEAR OPERATORS IN BANACH SPACES
(Université de M'sila, 2019) TOUFIK, HERAIZ
This paper is devoted to an investigation of the relationship between the essential approximate point spectrum (respectively, the essential defect spectrum) of a sequence of closed linear operators (Tn)n2N on a Banach space X, and the essential approximate point spectrum (respectively, the essential defect spectrum) of a linear operator T on X, where (Tn)n2N converges to T, in the case of convergence in generalized sense as well as in the case of the convergence compactly
Open Access
FREE BOUNDARY PROBLEMS WITH NEUMAN BOUNDARY CONDITION
(Université de M'sila, 2019) SAADI, ABDERACHID; LYAGHFOURI, ABDESLEM
In this work, we study the continuity of the free boundary in a class of elliptic problems, with a Neuman boundary condition. The main idea is the use of a change of variable that reduces the problem to the one studied in [16].
Open Access
On the Boundedness of Marcinkiewicz Integrals on Variable Exponent Herz-type Hardy Spaces
(Université de M'sila, 2019) Rabah, HERAIZ
The aim of this paper is to prove that Marcinkiewicz integral operators are bounded from _K ( );q( ) p( ) (Rn) to _K ( );q( ) p( ) (Rn) when the parameters ( ); p( ) and q( ) satis es some conditions. Also, we prove the boundedness of on variable Herz-type Hardy spaces H _K ( );q( ) p( ) (Rn).