Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method

Title

Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method

Creator

Ilhan E.; Veeresha P.; Baskonus H.M.

Description

In the present work, we find the series solution for the system of fractional differential equations describing the atmospheric dynamics of carbon dioxide (CO2) gas using the q-homotopy analysis transform method (q-HATM). The analyzed model consists of a system of three nonlinear differential equations elucidating the dynamics of human population and forest biomass in the atmosphere to the concentration of CO2 gas. In the current study, we consider Caputo-Fabrizio (CF) fractional operator and the considered scheme is graceful amalgamations of Laplace transform with q-homotopy analysis technique. To present and validate the effectiveness of the hired algorithm, we examined the considered system in terms of fractional order. The existence and uniqueness are demonstrated by using the fixed-point theory. The accomplished consequences illustrate that the considered scheme is highly methodical and very efficient in analyzing the nature of the system of arbitrary order differential equations in daily life. 2021 Elsevier Ltd

Source

Chaos, Solitons and Fractals, Vol-152

Date

2021-01-01

Publisher

Elsevier Ltd

Subject

Caputo-Fabrizio derivative; Carbon dioxide gas; Human population; q-Homotopy analysis transform method

Coverage

Ilhan E., Faculty of Engineering and Architecture, Ahi Evran University, Kirsehir, 40500, Turkey; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, 63050, Turkey

Rights

Restricted Access

Relation

ISSN: 9600779; CODEN: CSFOE

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1016/j.chaos.2021.111347

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85113422069&doi=10.1016%2fj.chaos.2021.111347&partnerID=40&md5=4ec8830aef62b82d3a8a8d89f16f9c12