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math.AP2021★ 28 cited
Time-fractional Cahn-Hilliard equation: Well-posedness, degeneracy, and numerical solutions
Marvin Fritz, Mabel L. Rajendran, Barbara Wohlmuth
In this paper, we derive the time-fractional Cahn-Hilliard equation from continuum mixture theory with a modification of Fick's law of diffusion. This model describes the process o…
math.AP2020★ 30 cited
On a subdiffusive tumour growth model with fractional time derivative
Marvin Fritz, Christina Kuttler, Mabel L. Rajendran +2
In this work, we present and analyse a system of coupled partial differential equations, which models tumour growth under the influence of subdiffusion, mechanical effects, nutrien…