Existence and uniqueness of weak solutions to a truncated system for a class of time-fractional reaction-diffusion-advection systems

被引：2

作者：

Wang, Sen ^{[1
]}

Zhou, Xian-Feng ^{[1
]}

Pang, Denghao ^{[2
]}

Jiang, Wei ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Anhui Univ, Sch Internet, Hefei 230039, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 144卷

基金：

中国国家自然科学基金;

关键词：

Existence and uniqueness; Weak solutions; Truncated system; Time-fractional derivative; Reaction-diffusion-advection systems; EQUATIONS;

D O I：

10.1016/j.aml.2023.108720

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and uniqueness of the weak solutions for a truncated system of a class of time-fractional reaction-diffusion-advection systems with discontinuous diffusion. Our approaches are based upon the classical Galerkin's method and some new compactness criteria for proving the existence of weak solutions to time-fractional PDEs.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

共 50 条

[1] Adaptive numerical solutions of time-fractional advection–diffusion–reaction equations
Jannelli, Alessandra
Communications in Nonlinear Science and Numerical Simulation, 2022, 105
[2] Existence and uniqueness of the solution for a time-fractional diffusion equation
J. Kemppainen
Fractional Calculus and Applied Analysis, 2011, 14 : 411 - 417
[3] Existence and Uniqueness of Solutions for a Class of Reaction-diffusion Systems
吕显瑞
杜忠复
高永久
Northeastern Mathematical Journal, 1999, (03) : 295 - 300
[4] On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay
Van Bockstal, Karel
Zaky, Mahmoud A.
Hendy, Ahmed S.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 115
[5] EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR A TIME-FRACTIONAL DIFFUSION EQUATION
Kemppainen, J.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (03) : 411 - 417
[6] Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations
Jannelli, Alessandra
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 105
[7] Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation
Maji, Sandip
Natesan, Srinivasan
APPLIED NUMERICAL MATHEMATICS, 2023, 185 : 549 - 570
[8] On solutions of time-fractional advection-diffusion equation
Attia, Nourhane
Akgul, Ali
Seba, Djamila
Nour, Abdelkader
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023, 39 (06) : 4489 - 4516
[9] On the existence of weak solutions for a class of singular reaction diffusion systems
Mesbahi, Salim
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (03): : 757 - 774
[10] Existence and uniqueness results for a time-fractional nonlinear diffusion equation
Plociniczak, Lukasz
Switala, Mateusz
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (02) : 1425 - 1434

← 1 2 3 4 5 →