MOHAMEDOURABAH Benmeddour

chenene abdelmalek

Etude des problèmes aux limites associée aux dérivée fractionnaire d'Hadamard

Bounouiga Mohamed

Etude de quelques équations différentielles et problèmes aux limites liés au calcul fractionnaire conformable

La méthode infinitésimale est une approche locale de la paramétrisation, fondée sur l’étude du comportement de la surface au voisinage d’un point régulier à l’aide du calcul différentiel.

Citation

Mohamedourabah BENMEDDOUR , ,(2025-11-12), Paramétrisation des surfaces algébriques par la méthode infinitésimale,The 9th M'sila Conference on Mathematical Analysis,University of M'sila-Algeria

We study the ρ-generalized fractional version of the classical Sturm–Liouville operator. We establish the existence and uniqueness of a boundary value problem for this operator with homogeneous boundary conditions. Using this problem, we present a spectral decomposition of the ρ-generalized fractional Sturm–Liouville operator.

Citation

ABDERACHID Saadi , Mohamedourabah BENMEDDOUR , , (2024-07-20), Spectral decomposition of the fractional Sturm–Liouville operator with ρ -generalized derivative, Applicationes Mathematicae, Vol:51, Issue:1, pages:75-93, Institute of mathematics, polish academic of science

This paper is devoted to the existence and uniqueness of solution to a class of Hadamard fractional differential equation under fractional Sobolev spaces. A novel form of fractional Sobolev space via Hadamard fractional operator is well proposed and related properties are also proved. Furthermore, a variational formulation of considered system is established and thereby the Lax-Milgram theorem is also employed to demonstrate the existence and uniqueness.

Citation

YACINE Arioua , Mohamedourabah BENMEDDOUR , ABDERACHID Saadi , , (2023-03-13), Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative, Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES, Vol:18, Issue:1, pages:61-83, Bulletin, Institute of Mathematics, Academia Sinica