F. Et-tahri

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20232026

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math.AP2026

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…

math.AP2026

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 $\partial_{t}^{α} (u - u_{0}) - i A u = f$ , with a fractional derivative $\partial_{t}^{α}$ of o…

math.AP2025

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 $α \in (0, 1)$ . We prove refined uniqueness results from…

math.AP2025

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 $i^{ν} \partial_{t}^{α} u (t) + A u (t) = 0$ , $α \in (0, 1) \cup (1, 2)$ and $ν…