Stability of a time fractional advection-diffusion system

被引：11

作者：

Arfaoui, Hassen ^{[1
]}

Ben Makhlouf, Abdellatif ^{[1
]}

机构：

[1] Jouf Univ, Dept Math, Coll Sci, Gurayat, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2022年 / 157卷

关键词：

Advection-diffusion system; Caputo fractional order derivative; Fourier decomposition; Mittag-Leffler function; Stability; NAVIER-STOKES SYSTEM; STABILIZABILITY; EQUATIONS; STABILIZATION; MODEL;

D O I：

10.1016/j.chaos.2022.111949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a one dimensional advection-diffusion system in Caputo fractional order derivative. Using a Fourier decomposition and the Mittag-Leffler Function (MLF), we prove a new stability results for the solution of a such system. Numerical experiments were carried out at the end of this work to confirm the theoretical results obtained.(c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

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