BACHIR Gagui

Belouadeh Assia

Cauchy's problem and measure of noncompactness

Makhlouf Djehane

Existence and uniqueness of some fractional differential equations via measure of noncompactness

ALILICHE Alia

Équations intégro-différentielles et la méthode des éléments finis

LABOUKH Soumia

Sur le principe de point fixe de Banach et de Kannan

DJABALLAH Madjeda

Approximations des équations différentielles d'ordre fractionnaires

LAKHAL Ibrahim

Application du point fixe sur les équations différentielles fractionnaires

Oualhi Toufik

Résolution numérique d’une équation différentielle d’ordre fractionnaire et équation intégrale : Etude comparative

Ben Rahmoune Mohamed

Problème de Cauchy pour les dérivées fractionnaires

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.

Citation

Mostefa NADIR , BACHIR Gagui , , (2019), Quadratic numerical treatment for singular integral equations with logarithmic kernel, Int. J. Computing Science and Mathematics, Vol:10, Issue:3, pages:288-296, inderscience publishers

The goal of this talk is involoving how to solve a linear integr-differential equations by some techique of a projection based of Galerkin interpolation

Citation

BACHIR Gagui , ,(2016), Numerical solution of a linear integro-differential equations using finit elements method,séminaire international sur l'analyse mathématiques << LEM2I-2016>>,Hammamet, Tunisie

In this work, we give conditions guarantee the boundedness of the Hammerstein integral operator in Lp spaces. The existence and the uniqueness of the solution of Hammerstein integral equation are treated under some ssumptions affected to the successive approximation, so that we obtain the convergence of the approximate solution to the exact one. Finally, we treat numerical examples to confirm our results.

Citation

Mostefa NADIR , BACHIR Gagui , , (2014), NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS IN Lp SPACES, F A S C I C U L I M A T H E M A T I C I, Vol:52, Issue:2, pages:83-91, Poznan University of Technology, Institute of Mathematics

In this paper we add two points to the adaptive method for the numerical solution of Volterra integral equations of the second kind studied in [1]. We also present several numerical examples where we show the advantage of this method.

Citation

Mostefa NADIR , BACHIR Gagui , , (2007), Two Points for the Adaptive Method for the Numerical Solution of Volterra Integral Equations, International Journal: Mathematical Manuscripts, Vol:1, Issue:1, pages:133-140, Research India Publications