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20232026
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math.AP2026

Note on Boundary Stabilization of Degenerate Schrödinger Equations

Abdelkader Benaissa, Abbes Benaissa

A degenerate Schrödinger equation under fractional integral damping is considered. Here the damping term is singular and not integrable and we consider the two cases when damping a…

math.AP2026

On the stability of degenerate Schrödinger equation under boundary fractional damping

Fatiha Chouaou, Abbes Benaissa

In this paper we study the well-posedness and stability of degenerate Schrödinger equation with a fractional boundary damping. First, we establish the well-posedness of the degener…

math.AP2025

Stability of Degenerate Schrödinger Equation with Harmonic Method

Khadidja Fekirini, Naima Louhibi, Abbes Benaissa

This paper is devoted to study the well-posedness and stability of degenerate Schrödinger equation with a boundary control acting at the degeneracy. First, we establish the well-po…

math.AP2024

On the Stability of swelling porous elastic soils with a single internal fractional damping

Said Rafa, Abbes Benaissa

We study polynomial stability to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils with an internal fractional damping. We establish an op…

math.AP2023

Indirect boundary stabilization for weakly coupled degenerate wave equations under fractional damping

Rachid Benzaid, Abbes Benaissa

In this paper, we consider the well-posedness and stability of a one-dimensional system of degenerate wave equations coupled via zero order terms with one boundary fractional dampi…