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.
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页数：8
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