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

页码：148 / 158

页数：11

共 50 条

[31] Long-Time Existence for Semi-linear Beam Equations on Irrational Tori
Joackim Bernier
Roberto Feola
Benoît Grébert
Felice Iandoli
[J]. Journal of Dynamics and Differential Equations, 2021, 33 : 1363 - 1398
[32] Time and space meshes adaptivity for the resolution of a semi-linear heat equation
Chorfi, Nejmeddine
[J]. ASYMPTOTIC ANALYSIS, 2021, 125 (3-4) : 389 - 398
[33] BEHAVIOR OF SOLUTIONS OF A SEMI-LINEAR ELLIPTIC BOUNDARY SYSTEM IN DOMAINS WITH CORNERS
DZIUK, G
[J]. MATHEMATISCHE ZEITSCHRIFT, 1978, 159 (01) : 89 - 100
[34] Global existence and asymptotic behavior for a time fractional reaction-diffusion system
Alsaedi, Ahmed
Kirane, Mokhtar
Lassoued, Rafika
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (06) : 951 - 958
[35] GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS TO THE ELECTRIC-MAGNETOHYDRODYNAMIC EQUATIONS
Bian, Dongfen
Guo, Boling
[J]. KINETIC AND RELATED MODELS, 2013, 6 (03) : 481 - 503
[36] EXACT ASYMPTOTIC BEHAVIOR OF SINGULAR POSITIVE SOLUTIONS OF FRACTIONAL SEMI-LINEAR ELLIPTIC EQUATIONS
Yang, Hui
Zou, Wenming
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (07) : 2999 - 3009
[37] The probability of finite-time blowup of a semi-linear SPDE with fractional noise
Nguyen Tien Dung
[J]. STATISTICS & PROBABILITY LETTERS, 2019, 149 : 86 - 92
[38] GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF WEAK SOLUTIONS FOR TIME-SPACE FRACTIONAL KIRCHHOFF-TYPE DIFFUSION EQUATIONS
Fu, Yongqiang
Zhang, Xiaoju
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (03): : 1301 - 1322
[39] Global existence for semi-linear structurally damped σ-evolution models
Duong Trieu Pham
Mezadek, Mohamed Kainane
Reissig, Michael
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (01) : 569 - 596
[40] Global Existence and Large Time Behavior of Solutions to 3D MHD System Near Equilibrium
Xiao, Yamin
Yuan, Baoquan
[J]. RESULTS IN MATHEMATICS, 2021, 76 (02)

← 1 2 3 4 5 →