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

被引：16

作者：

Zhou, Y. ^{[2
,3
]}

Manimaran, J. ^{[4
]}

Shangerganesh, L. ^{[4
]}

Debbouche, A. ^{[1
]}

机构：

[1] Guelma Univ, Dept Math, Guelma 24000, Algeria

[2] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[4] Natl Inst Technol, Dept Humanities & Sci, Ponda 403401, Goa, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 7-8期

基金：

中国国家自然科学基金;

关键词：

fractional PDE; weak solution; Keller-Segel model; Faedo-Galerkin method; Mittag-Leffler stability; ORDER EPIDEMIC MODEL; STEADY-STATES; DIFFUSION; EXISTENCE; SYSTEM;

D O I：

10.1515/ijnsns-2018-0035

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：753 / 761

页数：9

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