Explicit solution of fractional order atmosphere-soil-land plant carbon cycle system

Autor:	Kalsum Abdulrahman Muhamad, Haci Mehmet Baskonus, Adnan Ahmad Mahmud, Tanfer Tanriverdi
Rok vydání:	2021
Předmět:	Equilibrium point Variables Laplace transform Ecological Modeling media_common.quotation_subject Order (ring theory) Mechanics Stability (probability) Carbon cycle Fractional calculus Atmosphere Ecology Evolution Behavior and Systematics media_common Mathematics
Zdroj:	Ecological Complexity. 48:100966
ISSN:	1476-945X
DOI:	10.1016/j.ecocom.2021.100966
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d6fc9172743b114a41222b830bf04f71 https://doi.org/10.1016/j.ecocom.2021.100966 Zobrazit plný text záznamu Full Text from ScienceDirect