Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives
The intricate relationship between human-induced carbon dioxide (CO2) emissions and the atmospheric temperature presents a multifaceted challenge with profound implications for the environment, ecosystems, and human societies. This research presents a novel fractional variable-order model that the i...
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| Format: | Article |
| Language: | English |
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International Academy of Ecology and Environmental Sciences
2024-12-01
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| Series: | Computational Ecology and Software |
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| Online Access: | http://www.iaees.org/publications/journals/ces/articles/2024-14(4)/dynamic-effects-of-human-caused-carbon-dioxide-emissions.pdf |
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| author | T. Saradhadevi A. Kalavathi |
| author_facet | T. Saradhadevi A. Kalavathi |
| author_sort | T. Saradhadevi |
| collection | DOAJ |
| description | The intricate relationship between human-induced carbon dioxide (CO2) emissions and the atmospheric temperature presents a multifaceted challenge with profound implications for the environment, ecosystems, and human societies. This research presents a novel fractional variable-order model that the impact of CO2 emissions from human activities using Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Atangana-Baleanu (AB) fractional derivatives. Existence and uniqueness of fractions solutions are established and numerical simulations have been carried out based on different set of parameters to study the effects of CO2 emission caused by human activities leading to global warming.
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| format | Article |
| id | doaj-art-a9a7c8dcd8344bea8816948c1a42ae1f |
| institution | OA Journals |
| issn | 2220-721X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | International Academy of Ecology and Environmental Sciences |
| record_format | Article |
| series | Computational Ecology and Software |
| spelling | doaj-art-a9a7c8dcd8344bea8816948c1a42ae1f2025-08-20T02:05:29ZengInternational Academy of Ecology and Environmental SciencesComputational Ecology and Software2220-721X2024-12-01144215233Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivativesT. Saradhadevi0A. Kalavathi1Department of Mathematics, Sri GVG Visalakshi College for Women, Udumalpet, Tamilnadu, India Department of Mathematics, Sri GVG Visalakshi College for Women, Udumalpet, Tamilnadu, India The intricate relationship between human-induced carbon dioxide (CO2) emissions and the atmospheric temperature presents a multifaceted challenge with profound implications for the environment, ecosystems, and human societies. This research presents a novel fractional variable-order model that the impact of CO2 emissions from human activities using Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Atangana-Baleanu (AB) fractional derivatives. Existence and uniqueness of fractions solutions are established and numerical simulations have been carried out based on different set of parameters to study the effects of CO2 emission caused by human activities leading to global warming. http://www.iaees.org/publications/journals/ces/articles/2024-14(4)/dynamic-effects-of-human-caused-carbon-dioxide-emissions.pdfcarbon dioxidefractional variable-order modelliouville-caputocaputo-fabrizioatangana-baleanu |
| spellingShingle | T. Saradhadevi A. Kalavathi Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives Computational Ecology and Software carbon dioxide fractional variable-order model liouville-caputo caputo-fabrizio atangana-baleanu |
| title | Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives |
| title_full | Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives |
| title_fullStr | Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives |
| title_full_unstemmed | Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives |
| title_short | Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives |
| title_sort | dynamic effects of human caused carbon dioxide emissions on atmospheric temperature via various variable order fractional derivatives |
| topic | carbon dioxide fractional variable-order model liouville-caputo caputo-fabrizio atangana-baleanu |
| url | http://www.iaees.org/publications/journals/ces/articles/2024-14(4)/dynamic-effects-of-human-caused-carbon-dioxide-emissions.pdf |
| work_keys_str_mv | AT tsaradhadevi dynamiceffectsofhumancausedcarbondioxideemissionsonatmospherictemperatureviavariousvariableorderfractionalderivatives AT akalavathi dynamiceffectsofhumancausedcarbondioxideemissionsonatmospherictemperatureviavariousvariableorderfractionalderivatives |