A mathematical analysis of a non-linear smoking model via fractional operators

Document Type : Research Paper

Authors

1 Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida, India.

2 Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India.

3 Department of Mathematics, SRM University Delhi-NCR, Sonepat-131029, Haryana, India.

Abstract

Smoking is one of the most significant public health hazards that adversely affects all organs in the body and has a detrimental effect on general health. In this work, we investigate a mathematical smoking model by considering a singular and non-local Caputo operator as well as a non-singular modified Atangana-Baleanu Caputo derivative. We propose a Yang transform decomposition technique, which combines the Yang transform with the Adomian decomposition method, to obtain the analytical solution of the model. The existence of a unique solution to the model is established using the Lipschitz condition and fixed-point theory. The local asymptotic stability of the equilibrium point is also discussed. Furthermore, graphical analysis is carried out in order to demonstrate the impact of fractional order.

Keywords

Main Subjects

References

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Computational Methods for Differential Equations
Volume 14, Issue 1
January 2026
Pages 60-80

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History

  • Receive Date: 03 July 2024
  • Revise Date: 20 October 2024
  • Accept Date: 29 October 2024

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