Existence, uniqueness and L∞-bound for weak solutions of a time fractional Keller-Segel system

Liujie Guo, Fei Gao and Hui Zhan

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: We study the global existence, uniqueness and L∞-bound for the weak solutions to a time fractional Keller-Segel systems with logistic source∂αu∂tα=Δu−∇⋅u∇v+ua−bu,x∈ℝn,t>00=Δv+u,x∈ℝn,t>0

Keywords: Caputo derivative; Time fractional Keller-Segel equations; Weak solutions; Global existence; Uniqueness L∞-bound (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922003952

DOI: 10.1016/j.chaos.2022.112185

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