| Yazarlar |
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Veeresha P
|
|
Hacı Mehmet Başkonuş
Harran Üniversitesi, Türkiye |
| Özet |
| Y 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. (C) 2021 Elsevier Ltd. All rights reserved. |
| Anahtar Kelimeler |
| Caputo-Fabrizio derivative, Carbon dioxide gas, Human population, q-Homotopy analysis transform method |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Chaos, Solitons & Fractals |
| Dergi ISSN | 0960-0779 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2021 |
| Cilt No | 152 |
| Sayfalar | 1 / 10 |
| Doi Numarası | 10.1016/j.chaos.2021.111347 |
| Makale Linki | http://dx.doi.org/10.1016/j.chaos.2021.111347 |
| Atıf Sayıları | |
| WoS | 42 |
| Google Scholar | 52 |
