Stability analysis for fractional order advection–reaction diffusion system

Hasib Khan, J.F. Gómez-Aguilar, Aziz Khan and Tahir Saeed Khan

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 737-751

Abstract: In this paper, we present an alternative representation of the advection–reaction diffusion model involving fractional-order derivatives with Mittag-Leffler kernel. The study includes three main aspects: existence and uniqueness of solutions, Hyers–Ulam stability, and numerical simulations. For the existence and uniqueness of solutions, we use fixed point approach; also, we presents the Hyers–Ulam stability. For the numerical simulations, a new numerical scheme that involve Lagrange interpolation, Laplace transform and forward Euler technique is considered. Numerical simulations were obtained for some specific parameters.

Keywords: Advection-reaction diffusion model; ABC-fractional derivative; Hyers–Ulam stability; Existence and uniqueness of solution (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:521:y:2019:i:c:p:737-751

DOI: 10.1016/j.physa.2019.01.102

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