On Global Existence of the Fractional Reaction-Diffusion System?s Solution

被引：3

作者：

Batiha, Iqbal M. ^{[1
,2
]}

Barrouk, Nabila ^{[3
]}

Ouannas, Adel ^{[4
]}

Alshanti, Waseem G. ^{[1
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, Amman 11733, Jordan

[2] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[3] Mohamed Cher Messaadia Univ, Dept Math & Informat, Souk Ahras, Algeria

[4] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷

关键词：

semigroup methods; fractional reaction-diffusion systems; local mild solution; global solution;

D O I：

10.28924/2291-8639-21-2023-11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L1-estimate methods. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions.

引用

页数：15

共 50 条

[21] Global existence for coupled reaction-diffusion systems
Boudiba, N
Pierre, M
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (01) : 1 - 12
[22] Global existence and finite time blow up for a reaction-diffusion system
Wang, MX
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2000, 51 (01): : 160 - 167
[23] GLOBAL EXISTENCE AND UNIQUENESS OF A REACTION-DIFFUSION SYSTEM VIA INVARIANT SOLUTIONS
QI, YW
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (10) : 1277 - 1291
[24] Global existence and finite time blow up for a reaction-diffusion system
M. Wang
[J]. Zeitschrift für angewandte Mathematik und Physik, 2000, 51 : 160 - 167
[25] BLOW UP AND GLOBAL EXISTENCE FOR A WEAKLY COUPLED REACTION-DIFFUSION SYSTEM
ESCOBEDO, M
LEVINE, HA
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (10): : 735 - 739
[26] Global Existence and Asymptotic Behavior for a Reaction-Diffusion System with Unbounded Coefficients
Majdoub, Mohamed
Tatar, Nasser-Eddine
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
[27] Global existence and blow-up for a nonlinear reaction-diffusion system
Chen, HW
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (02) : 481 - 492
[28] EXISTENCE OF GLOBAL SOLUTIONS TO THE CAUCHY PROBLEM FOR SOME REACTION-DIFFUSION SYSTEM
Hirose, Munemitsu
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2010, 23 (7-8) : 671 - 684
[29] EXISTENCE OF GLOBAL SOLUTIONS FOR A SYSTEM OF REACTION-DIFFUSION EQUATIONS WITH EXPONENTIAL NONLINEARITY
Daddiouaissa, El Hachemi
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (73) : 1 - 7
[30] Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential
Tan, Zhong
Xie, Minghong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 493 (02)

← 1 2 3 4 5 →