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Stability of a time fractional advection-diffusion system

Author name : Hassen ElAbidi M ARFAOUI
Publication Date : 2022-02-22
Journal Name : Chaos, Solitons and Fractals

Abstract

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 sta- bility 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.

Keywords

Advection-diffusion system Caputo fractional order derivative Fourier decomposition Mittag-Leffler function Stability

Publication Link

https://doi.org/10.1016/j.chaos.2022.111949

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