4.6 Article

On the time-fractional Keller-Segel model for chemotaxis

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 2, Pages 769-798

Publisher

WILEY
DOI: 10.1002/mma.5959

Keywords

chemotaxis aggregation; decay properties; fractional derivative; Keller-Segel model; mild solutions

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We consider the time-fractional Keller-Segel system of order alpha is an element of(0,1). Interesting properties of solutions are highlighted, like regularity and large time behavior in Lebesgue spaces, which depend on the fractional exponent alpha.

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