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math.AP2024★ 1 cited
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 conside…