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On Investigating The Co2 Model Using Crossover Behavior And Modified Mittag–Leffler Fractional-Order Derivative

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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)

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.

Suggested Citation

  • Saira Tabassum & Mohamed Hmissi & Mati Ur Rahman & Abdelbaki Choucha & Meraj Ali Khan, 2025. "On Investigating The Co2 Model Using Crossover Behavior And Modified Mittag–Leffler Fractional-Order Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401516
    DOI: 10.1142/S0218348X25401516
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