Impact of Fractal-Fractional Dynamics on Pneumonia Transmission Modeling

Authors

  • Sayed Saber Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Saudi Arabia & Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Egypt
  • Abdullah Alahmari Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al-Qura University, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5901

Keywords:

Fractional Derivatives, Nonlinear Equations, Simulation, Numerical Results, Iterative Method, pneumonia transmission, fractal fractional operators.

Abstract

In this study, we develop a fractal-fractional pneumonia transmission model using the Atangana-Baleanu derivative to capture long-memory effects. We analyze the existence and uniqueness of the model’s solutions and examine its stability using Hyers-Ulam criteria. Numerical simulations are conducted to explore the influence of different fractional orders on disease dynamics. The results indicate that fractional-order modeling provides a more flexible and accurate framework than classical integer-order models, particularly in representing population heterogeneities and intervention strategies such as vaccination and treatment. This approach enhances our understanding of pneumonia transmission and offers valuable insights for public health decision-making.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Sayed Saber, Abdullah Alahmari

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How to Cite

Impact of Fractal-Fractional Dynamics on Pneumonia Transmission Modeling. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5901. https://doi.org/10.29020/nybg.ejpam.v18i2.5901