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On the time‐fractional Keller‐Segel model for chemotaxis
Author(s) -
Cuevas Claudio,
Silva Clessius,
Soto Herme
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5959
Subject(s) - mathematics , exponent , order (exchange) , lebesgue integration , pure mathematics , mathematical analysis , philosophy , linguistics , finance , economics
We consider the time‐fractional Keller‐Segel system of order α ∈(0,1). Interesting properties of solutions are highlighted, like regularity and large time behavior in Lebesgue spaces, which depend on the fractional exponent α .