GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A SEMI-LINEAR TIME AND SPACE FRACTIONAL SYSTEM

被引：0
|
作者：
Ahmad, B. [1 ]
Hnaien, D. [2 ]
Kirane, M. [1 ,3 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Sfax, Fac Sci, Lab Appl Math & Harmon Anal, Sfax 3038, Tunisia
[3] Univ La Rochelle, Fac Sci & Technol, LASIE, Ave M Crepeau, F-17042 La Rochelle, France
来源：
APPLIED AND COMPUTATIONAL MATHEMATICS | 2017年 / 16卷 / 02期
关键词：
Fractional Calculus; Caputo Derivative; Fractional Laplacian; Mittag-Leffler Function; Local and Global Existence; Asymptotic Bounds; BOUNDARY-VALUE-PROBLEMS; EQUATIONS; OPERATORS; ORDER;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that an SIR system with fractional time derivatives and anomalous diffusions admits a global solution. Furthermore, time bounds on the solutions are established. The method of proof uses fine results concerning the semigroup associated to the linear part.
引用
收藏
页码：148 / 158
页数：11
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