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math.AP2026
Slow motion for the time-fractional Allen-Cahn equation with linear and nonlinear diffusion
Davide Cusseddu, Raffaele Folino, Luis Fernando López Ríos
We study the slow motion of phase transition layers for a time-fractional Allen--Cahn equation with a Caputo time derivative of order . We show that the fractional memor…
math.AP2025★ 3 cited
Reaction-diffusion systems from kinetic models for bacterial communities on a leaf surface
Marzia Bisi, Davide Cusseddu, Ana Jacinta Soares +1
Many mathematical models for biological phenomena, such as the spread of diseases, are based on reaction-diffusion equations for densities of interacting cell populations. We prese…