On Cauchy problem for fractional parabolic-elliptic Keller-Segel model

DOI10.1515/anona-2022-0256zbMath1497.35500OpenAlexW4292649377MaRDI QIDQ2675199

Nguyen Huy Tuan, Chao Yang, Anh Tuan Nguyen

Publication date: 21 September 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0256

zbMATH Keywords

Besov spacesMittag-Leffler functionsCaputo derivativeKeller-Segel systemparabolic-elliptic system

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (11)

Notes on continuity result for conformable diffusion equation on the sphere: the linear case ⋮ On initial value problem for elliptic equation on the plane under Caputo derivative ⋮ Distributed-order space-time fractional diffusions in bounded domains ⋮ On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ Boundedness and exponential stabilization for time-space fractional parabolic-elliptic Keller-Segel model in higher dimensions ⋮ Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann-Liouville fractional derivatives ⋮ On local fractional integral inequalities via generalized \((\tilde{h}_1, \tilde{h}_2)\)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel ⋮ Analysis of Cauchy problem with fractal-fractional differential operators ⋮ Hybrid Fibonacci wavelet method to solve fractional‐order logistic growth model ⋮ Novel spectral schemes to fractional problems with nonsmooth solutions

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