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Computational Ecology and Software, 2024, 14(4): 215-233
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Article

Dynamic effects of human-caused carbon dioxide emissions on atmospheric temperature via various variable-order fractional derivatives

T. Saradhadevi, A. Kalavathi
Department of Mathematics, Sri GVG Visalakshi College for Women, Udumalpet, Tamilnadu, India

Received 4 May 2024;Accepted 10 June 2024;Published online 20 June 2024;Published 1 December 2024
IAEES

Abstract
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.

Keywords carbon dioxide;fractional variable-order model;Liouville-Caputo;Caputo-Fabrizio;Atangana-Baleanu.

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