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

[41] Global Existence and Large Time Behavior of Solutions to 3D MHD System Near Equilibrium
Yamin Xiao
Baoquan Yuan
[J]. Results in Mathematics, 2021, 76
[42] Global existence and large-time behavior of smooth solutions to the Timoshenko-Fourier system in thermoelasticity
Cao, Hongmei
Xu, Jiang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 39 : 246 - 260
[43] A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold
Blue, Pieter
Soffer, Avy
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2007, 81 (03) : 227 - 238
[44] Existence of finite energy solutions for semi-linear elliptic systems
Mercier, JM
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 323 (11): : 1169 - 1174
[45] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF SEMI-LINEAR ELLIPTIC-EQUATIONS
LIONS, PL
[J]. SIAM REVIEW, 1982, 24 (04) : 441 - 467
[46] On global solutions to a defocusing semi-linear wave equation
Gallagher, I
Planchon, F
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2003, 19 (01) : 161 - 177
[47] Existence and multiplicity of solutions of semi-linear elliptic equations in RN
Sirakov, B
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2000, 11 (02) : 119 - 142
[48] Global existence of high-frequency solutions to a semi-linear wave equation with a null structure
Touati, Arthur
[J]. ASYMPTOTIC ANALYSIS, 2023, 131 (3-4) : 541 - 582
[49] Global existence of solutions for weakly coupled systems of semi-linear structurally dampedσ-evolution models
Anh Dao, Tuan
[J]. APPLICABLE ANALYSIS, 2022, 101 (04) : 1396 - 1429
[50] Global existence for a semi-linear Volterra parabolic equation and neutral system with infinite delay
Liu, Hsiang
Guu, Sy-Ming
Pang, Chin-Tzong
[J]. APPLIED MATHEMATICAL MODELLING, 2016, 40 (23-24) : 9966 - 9989

← 1 2 3 4 5 →