Local and global solutions for a subdiffusive parabolic–parabolic Keller–Segel system

Author:

Bezerra Mario,Cuevas Claudio,Viana Arlúcio

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Reference51 articles.

1. Ahmad, B., Alsaedi, A., Berbiche, M., Kirane, M.: Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations. Electron. J. Diff. Equ. 110, 28 (2020)

2. Alsaedi, A., Kirane, M., Lassoued, R.: Global existence and asymptotic behavior for a time fractional reaction-diffusion system. Comput. Math. Appl. 73(6), 951–958 (2017)

3. Amann, H.: Existence and regularity for semilinear parabolic evolution equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11(4), 593–676 (1984)

4. Azevedo, J., Cuevas, C., Henriquez, E.: Existence and asymptotic behaviour for the time-fractional Keller-Segel model for chemotaxis. Math. Nachr. 292, 462–480 (2019)

5. Azevedo, J., Pozo, J.C., Viana, A.: Global solutions to the non-local Navier-Stokes equations. Discrete Contin. Dyn. Syst. - B 27(5), 2515–2535 (2022)

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