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math.AP2025
A time-fractional Fisher-KPP equation for tumor growth: Analysis and numerical simulation
Marvin Fritz, Nikos I. Kavallaris
We study a time-fractional Fisher-KPP equation involving a Riemann-Liouville fractional derivative acting on the diffusion term, as derived by Angstmann and Henry (Entropy, 22:1035…
math.AP2025
The Gierer-Meinhardt system in the entire space with non-local proliferation rates
Marius Ghergu, Nikos I. Kavallaris, Yasuhito Miyamoto
In this work, we present a novel stationary Gierer-Meinhardt system incorporating non-local proliferation rates, defined as follows: $$ \begin{cases} \displaystyle -Δu+λu=\frac{J*u…