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Weakness and Mittag-Leffler Stability of Solutions for Time-Fractional Keller-Segel Models
Journal article   Peer reviewed

Weakness and Mittag-Leffler Stability of Solutions for Time-Fractional Keller-Segel Models

Y. Zhou, J. Manimaran, L. Shangerganesh and A. Debbouche
International journal of nonlinear sciences and numerical simulation, Vol.19(7-8), pp.753-761
01/12/2018
DOI: https://doi.org/10.1515/ijnsns-2018-0035

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
We introduce a time-fractional Keller-Segel model with Dirichlet conditions on the boundary and Caputo fractional derivative for the time. The main result shows the existence theorem of the proposed model using the Faedo-Galerkin method with some compactness arguments. Moreover, we prove the Mittag-Leffler stability of solutions of the considered model.

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