Existence and asymptotic behaviour for the time-fractional Keller-Segel model for chemotaxis
Author:
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
Link
http://onlinelibrary.wiley.com/wol1/doi/10.1002/mana.201700237/fullpdf
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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