Stability of a fractional advection–diffusion system with conformable derivative

Hassen Arfaoui and Abdellatif Ben Makhlouf

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: This paper investigates the stability of fractional advection–diffusion system with conformable derivative in infinite time interval. We have established new exponential stability results for a such system in different Hilbert spaces. Then, thanks to numerical methods for solving systems with conformable derivative, we were able to justify numerically the theoretical results obtained.

Keywords: Advection–diffusion system; Conformable fractional order derivative; Existence and uniqueness; Stability (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008281

DOI: 10.1016/j.chaos.2022.112649

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