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• W3208640828 abstract "• The dynamical behaviours and mathematics of the fractional order atmosphere-soil-land plant carbon cycle system are qualitatively and numerically investigated. • Explicit solutions in terms of the Mittag-Leffler functions to the terrestrial carbon cycle system around the equilibrium point are the first time reported by applying Laplace transform of Caputo fractional derivative. • Explicit solutions and stability of the fractional order system around the equilibrium points of linearized system are graphed and compared against each other as well. In this paper, the dynamical behaviours and mathematics of the fractional order atmosphere-soil-land plant carbon cycle system involving the time dependent variable of carbon flux in atmosphere, the carbon flux of soil, and the carbon flux of animals and plants are qualitatively and numerically investigated. Explicit solutions in terms of the Mittag-Leffler functions to the terrestrial carbon cycle system around the equilibrium point are first time reported by applying Laplace transform of Caputo fractional derivative. The graphs of obtained solutions the time dependent variable of carbon flux in atmosphere, the carbon flux of soil and the carbon flux of animals and plants are plotted against each other. Explicit solutions to original system and stability of the fractional order linearized system around the equilibrium point are graphically compared as well." @default.
• W3208640828 created "2021-11-08" @default.
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• W3208640828 date "2021-12-01" @default.
• W3208640828 modified "2023-10-06" @default.
• W3208640828 title "Explicit solution of fractional order atmosphere-soil-land plant carbon cycle system" @default.
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• W3208640828 doi "https://doi.org/10.1016/j.ecocom.2021.100966" @default.
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