Browsing by Author "Nisse Lamine"

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    Behavior of the solutions of certain systems of non-integer differential equations
    (University Of Eloued جامعة الوادي, 2020-02-23) Ben Othmane Iman; Nisse Lamine
    This work is devoted to the generalization of certain theorems of comparisons known in the theory of ordinary differential equations,to systems of differential equations of fractional order.
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    Fixed point in uniform spaces
    (University Of Eloued جامعة الوادي, 2020-02-23) Ouani Afaf; Nisse Lamine
    In this work, we expand some definitions of functional analysis usually defined on metric spaces to non-metric topologiqual spaces. To do so, we introduce some notions associated with nonmetrizable spaces, wich extanded the topological structures of these spaces, for make them fairly close of those of the metric spaces. It concerns some topological vector spaces of uniform structure; particularly those generated by family of semi-norms. Specially, we study the extension of the Banach contraction principle on such spaces.
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    Study and comparison of approximate solutions of certain perturbed differential dynamic systems
    (University Of Eloued جامعة الوادي, 2020-02-23) Lejdel Ali; Tefaha Meftah Safia; Nisse Lamine
    In recent years, large groups of specialists have tended to study approximate solutions to different types of problems, due to the difficulty of solving them (or even the impossibility), in particular nonlinear problems. In our study, we will be interested in certain disturbed problems resulting from the modeling of different physical phenomena. We will study these approximate solutions from several different methods, then compare them to a few and find the best approximation. We will also try to compare them numerically. So the questions which arise essentially are on the one hand on the validity of such an approximate solution (in order to have a realistic representation of the modeled phenomenon), and on the other hand on the order and the estimation of the error of approximation of the exact solution (to guarantee the best possible accuracy).