Existence and asymptotic behaviour for the time-fractional Keller-Segel model for chemotaxis
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DOI: 10.1002/mana.201700237
Abstract: One of the most important systems for understanding chemotactic aggregation is the Keller–Segel system. We consider the time‐fractional Keller–Segel system of order α∈(0,1). We prove an existence result with small initial data in a class… read more here.
Keywords: asymptotic behaviour; fractional keller; time fractional; keller ... See more keywords
Nonnegative solutions to time fractional Keller–Segel system
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DOI: 10.1002/mma.6880
Abstract: We establish the existence of nonnegative weak solutions to time fractional Keller–Segel system with Dirichlet boundary condition in a bounded domain with smooth boundary. Since the considered system has a cross‐diffusion term and the corresponding… read more here.
Keywords: keller segel; system; solutions time; segel system ... See more keywords