Stability of a time fractional advection-diffusion system

Hassen Arfaoui and Abdellatif Ben Makhlouf

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

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 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.

Keywords: Advection-diffusion system; Caputo fractional order derivative; Fourier decomposition; Mittag-Leffler function; Stability (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s096007792200159x

DOI: 10.1016/j.chaos.2022.111949

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