A Fractional Smoking Transmission Model Utilizing the Caputo-Fabrizio Operator: A Comprehensive Analysis and Simulation

Authors

  • Supriya Bhosale Symbiosis International (Deemed) University, Pune, India
  • Chhaya Kiran Lande SIT, Pune
  • Hossein Jafari University of South Africa UNISA 0003 https://orcid.org/0000-0001-6807-6675
  • Dnyaneshwar Raut Shivaji Mahavidyalaya, Renapur, Latur, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6507

Keywords:

Caputo-Fabrizio fractional derivative, Smoking Model, Adomain decomposition method, Laplace Transform, Aboodh Transform, Numerical simulations

Abstract

Over the past few years, several novel formulations of fractional derivatives have emerged, facilitating the construction of mathematical models that can address a broad spectrum of real-world applications. This study presents and investigates a mathematical model for smoking behavior incorporating the Caputo–Fabrizio fractional differential operator, which is par-
ticularly valued for its non-singular kernel and ability to capture memory effects in dynamic systems without the complexities of singularities. Here, the population is divided into six distinct compartments: mainly susceptible, snuffing, irregular, habitual, regular, and quit. To explore the model’s dynamics, the Laplace Adomian Decomposition Method (LADM) and the Aboodh Adomian Decomposition Method (AADM) are employed. A comparative analysis of LADM and AADM is carried out using MATLAB software, with numerical simulations conducted for various fractional orders to assess the accuracy and efficiency of both techniques. Both methodologies demonstrated a high level of accuracy and consistency in their results, highlighting their reliability for modeling complex systems.

Author Biographies

  • Supriya Bhosale, Symbiosis International (Deemed) University, Pune, India

    Supriya P Bhosale, Research Scholar, Symbiosis International (Deemed) University, Pune, India

  • Hossein Jafari, University of South Africa UNISA 0003

    Dr. Hossein Jafari, Professor, Department of Mathematical Sciences, University of South Africa UNISA 0003, South Africa

  • Dnyaneshwar Raut, Shivaji Mahavidyalaya, Renapur, Latur, India

    D. K. Raut, Assistant Professor, Shivaji Mahavidyalaya, Renapur, Latur, India

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Differential Equations

License

Copyright (c) 2025 Supriya Bhosale, Chhaya Kiran Lande, Hossein Jafari, Dnyaneshwar Raut

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How to Cite

A Fractional Smoking Transmission Model Utilizing the Caputo-Fabrizio Operator: A Comprehensive Analysis and Simulation. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6507. https://doi.org/10.29020/nybg.ejpam.v18i3.6507