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

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