M. BENMEDDOUR Mohamedourabah - Researcher Profile

Department

Mathematics Department

Research Interests

Specialized in Mathematics Department. Focused on academic and scientific development.

Contact Info

University of M'Sila, Algeria

Email : mohamedourabah.benmeddour@univ-msila.dz

On the Web:

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Recent Publications

2024-07-20

Spectral decomposition of the fractional Sturm–Liouville operator with ρ -generalized derivative

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

M. BENMEDDOUR Mohamedourabah, (2024-07-20), "Spectral decomposition of the fractional Sturm–Liouville operator with ρ -generalized derivative", [national] Applicationes Mathematicae , Institute of mathematics, polish academic of science

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2023-03-13

Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative

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

M. BENMEDDOUR Mohamedourabah, (2023-03-13), "Fractional Sobolev spaces and Boundary Value Problems via Hadamard derivative", [national] Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES , Bulletin, Institute of Mathematics, Academia Sinica

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