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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 . We prove refined uniqueness results fro…

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 , an…

math.AP2024

Global and local existence of solutions for nonlinear systems of time-fractional diffusion equations

Dian Feng, Masahiro Yamamoto

In this paper, we consider initial-boundary value problems for two-component nonlinear systems of time-fractional diffusion equations with the homogeneous Neumann boundary conditio…

math.AP2024

Stability of backward-in-time semilinear coupled parabolic systems

S. E. Chorfi, M. Yamamoto

We consider backward problems for semilinear coupled parabolic systems in bounded domains. We prove conditional stability estimates for linear and semilinear systems of strongly co…

math.AP2024

Logarithmic convexity of non-symmetric time-fractional diffusion equations

S. E. Chorfi, L. Maniar, M. Yamamoto

We consider a class of diffusion equations with the Caputo time-fractional derivative subject to the homogeneous Dirichlet boundary conditions. Here, we consid…