On a subdiffusive tumour growth model with fractional time derivative

06/18/2020
by   Marvin Fritz, et al.
0

In this work, we present a model for tumour growth in terms of reaction-diffusion equations with mechanical coupling and time fractional derivatives. We prove the existence and uniqueness of the weak solution. Numerical results illustrate the effect of the fractional derivative and the influence of the fractional parameter.

READ FULL TEXT

page 29

page 32

08/31/2021

On the formulation of fractional Adams-Bashforth method with Atangana-Baleanu-Caputo derivative to model chaotic problems

Mathematical analysis with numerical application of the newly formulated...
09/08/2020

Fractional Reduced Differential Transform Method for Belousov-Zhabotinsky reaction model

In this paper, Belousov-Zhabotinsky (B-Z) reaction model with Caputo fra...
05/23/2022

Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant

We study the dynamic evolution of COVID-19 cased by the Omicron variant ...
03/07/2020

Nonlocal-in-time dynamics and crossover of diffusive regimes

We study a simple nonlocal-in-time dynamic system proposed for the effec...
10/07/2020

An optimization-based approach to parameter learning for fractional type nonlocal models

Nonlocal operators of fractional type are a popular modeling choice for ...
07/22/2021

On a discrete composition of the fractional integral and Caputo derivative

We prove a discrete analogue for the composition of the fractional integ...