12 papers
The Biharmonic Heat Equation with General Dynamic Boundary Conditions
S. E. Chorfi, F. Et-tahri, L. Maniar
In this work, we initiate the study of the biharmonic heat equation in a spatial bounded domain subject to dynamic boundary conditions involving the bi-Laplace-Beltrami operator on…
Maximal regularity for time-fractional Schrödinger equations and application to nonlinear equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We study the maximal regularity problem for abstract time-fractional Schrödinger equations , with a fractional derivative of o…
Averaged Controllability of Time-Fractional Schrödinger Equations with Random Quantum Diffusivity
Jon Asier Bárcena-Petisco, Salah-Eddine Chorfi, Fouad Et-tahri +1
This paper addresses the problem of averaged controllability for the time-fractional Schrodinger equation, where the quantum diffusivity parameter is a random variable with a gener…
Inverse problems for time-fractional Schrödinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We study some inverse problems for time-fractional Schrödinger equations involving the Caputo derivative of fractional order . We prove refined uniqueness results from…
Forward and backward problems for abstract time-fractional Schrödinger equations
S. E. Chorfi, F. Et-tahri, L. Maniar +1
We investigate forward and backward problems associated with abstract time-fractional Schrödinger equations , and $ν…
Controllability of finite-dimensional linear fractional systems under uncertain parameters
Idriss Boutaayamou, Fouad Et-Tahri, Lahcen Maniar
This paper investigates the controllability of finite-dimensional linear fractional systems involving an uncertain parameter. We establish new results on the simultaneous and avera…
Control of the Fisher-Stefan system
Idriss Boutaayamou, Fouad Et-tahri, Lahcen Maniar +1
This paper addresses the exact controllability of trajectories in the one-dimensional Fisher-Stefan problem--a reaction-diffusion equation that models the spatial propagation of bi…
Averaged Controllability of the Random Schrödinger Equation with Diffusivity Following Absolutely Continuous Distributions
Jon Asier Bárcena-Petisco, Fouad Et-Tahri
This paper is devoted to the averaged controllability of the random Schrödinger equation, with diffusivity as a random variable drawn from a general probability distribution. First…
On uniform null controllability of transport-diffusion equations with vanishing viscosity limit
Fouad Et-Tahri, Jon Asier Bárcena-Petisco, Idriss Boutaayamou +1
This paper aims to address an interesting open problem, posed in the paper "Singular Optimal Control for a Transport-Diffusion Equation" of Sergio Guerrero and Gilles Lebeau in 200…
Insensitizing controls of a volume-surface reaction-diffusion equation with dynamic boundary conditions
Idriss Boutaayamoua, Fouad Et-tahri, Lahcen Maniar
This paper deals with the insensitizing controllability property of the quasilinear parabolic equation with dynamic boundary conditions. This problem can be reformulated as a null…
Null controllability of an ODE-heat system with coupled boundary and internal terms
Idriss Boutaayamou, Fouad Et-tahri, Lahcen Maniar
This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary contro…
On uniform null-controllability of tangential transport-diffusion equations with vanishing viscosity limit
Fouad Et-tahri, Jon Asier Barcena-Petisco, Idriss Boutaayamou +1
This paper aims to address an interesting open problem posed in the paper ''Singular Optimal Control for a Transport-Diffusion Equation'' of Sergio Guerrero and Gilles Lebeau in 20…