Fractal-fractional Brusselator chemical reaction

Khaled M. Saad

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this paper, we replace the classical differential operators with the fractal-fractional differential operators corresponding to the power law, exponential decay, and the generalized Mittag-Leffler kernels. These operators have two parameters created: the first is a fractal dimension and the second is a fractional order. The numerical schemes are combination of the Lagrange interpolating polynomial and theory of fractional calculus. In the case of δ=k=1 the numerical solutions for the proposed models are found to be in an excellent agreement with the finite difference methods. We investigate the effects of the fractal-fractional order on the oscillations in the Fractal-Fractional Brusselator Chemical Reaction (FFBCR). All calculations in this paper were done using the mathematica package.

Keywords: The fractal-fractional reaction diffusion equations; Lagrange interpolating polynomial; The power law; The exponential law; The Generalized Mittag-Leffler function (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004410

DOI: 10.1016/j.chaos.2021.111087

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