Work

On Investigating the Co2 Model Using Crossover Behavior and Modified Mittag–leffler Fractional-order Derivative

Year: 2025

Type: article

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.

Source: Fractals

DOI: 10.1142/s0218348x25401516

Authors: SAIRA TABASSUM, MOHAMED HMISSI, MATI UR RAHMAN, ABDELBAKI CHOUCHA, MERAJ ALI KHAN

Institutions: National Textile University, Imam Mohammad ibn Saud Islamic University, Jiangsu University, University of Ghardaia, Amar Telidji University of Laghouat

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Climate action

Open Access status: hybrid

OpenAlex ID: W4409341595

FWCI: 0.765

Cites: 34

Cited by: 1

Related to: 10