Stability of a fractional advection–diffusion system with conformable derivative. (November 2022)

• Record Type: Journal Article
• Authors: Arfaoui, Hassen; Ben Makhlouf, Abdellatif
• Is Part Of: Chaos, solitons and fractals. Volume 164(2022)
• Publication Date: 2022-11
• Subjects: Advection–diffusion system -- Conformable fractional order derivative -- Existence and uniqueness -- Stability; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112649
• Languages: English
• ISSNs: 0960-0779

Abstract

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.