Existence and asymptotic behaviour for the time-fractional Keller-Segel model for chemotaxis

Author:

Azevedo Joelma1,Cuevas Claudio1,Henriquez Erwin2

Affiliation:

1. Department of Mathematics; Federal University of Pernambuco; Recife-PE CEP 50540-740 Brazil

2. Department of Mathematics and Statistics; University of La Frontera; Casilla 54-D Temuco Chile

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Universidad de La Frontera

Publisher

Wiley

Subject

General Mathematics

Reference54 articles.

1. Analysis of the Keller-Segel model with a fractional derivative without singular kernel;Atangana;Entropy,2015

2. Two-dimensional Keller-Segel model: optimal critical mass and qualitative properties of the solutions;Blanchet;Electron. J. Differential Equations,2006

3. Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions;Blanchet;Calc. Var. Partial Differential Equations,2009

4. Infinite time aggregation for the critical Patlak-Keller-Segel model in R2;Blanchet;Comm. Pure Appl. Math.,2008

5. Properties of the Mittag-Leffler relaxation function;Berberan-Santos;J. Math. Chem.,2005

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