ON INVESTIGATING THE CO2 MODEL USING CROSSOVER BEHAVIOR AND MODIFIED MITTAG–LEFFLER FRACTIONAL-ORDER DERIVATIVE

Saira Tabassum, Mohamed Hmissi, Mati Ur Rahman, Abdelbaki Choucha and Meraj Ali Khan
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Saira Tabassum: Department of Applied Sciences, National Textile University, Faisalabad 37610, Pakistan
Mohamed Hmissi: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P. O. Box 65892, Riyadh 11566, Saudi Arabia
Mati Ur Rahman: School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, Jiangsu, P. R. China
Abdelbaki Choucha: Department of Material Sciences, Faculty of Sciences, Amar Teleji Laghouat University, Laghouat, Algeria5Laboratory of Mathematics and Applied Sciences, Ghardaia University, Ghardaia, Algeria
Meraj Ali Khan: Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P. O. Box 65892, Riyadh 11566, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-14

Abstract: This paper elaborates the benefit of fighting the atmospheric carbon dioxide (CO2) level by taking four compartmentalized mathematical models. A fractional piecewise modified Atangana–Baleanu–Caputo (mABC) derivative has been considered for the aforementioned model. The existence results and uniqueness of solution is also derived with the help of fixed point approach. To find the approximate solution for the model, we use an efficient numerical approach of Lagrange interpolation method to simulate the model. Various graphical representations are also illustrated with the help of the numerical approach and their dynamics are mentioned. This study’s key features are a novel variable-order fractional model capturing memory effects and a recent numerical methodology. Based on the simulation analysis, it appears that planting leafy trees on excess lands will be an effective method of reducing atmospheric CO2 levels.

Keywords: CO2 Model; Piecewise Derivative; mABC; Analytical Solution; Numerical Simulations (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401516

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