A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators

Articles in Press

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 a one of the most hazardous habit which damages almost all organs in the body and has a detrimental effect on general health. In this work, we investigate a mathematical smoking model by taking into account a singular and non local Caputo operator as well as non singular modified Atangana-Baleanu Caputo derivative. We proposed a Yang transform decomposition technique, which combines the Yang transform with the Adomian decomposition method, to find the analytical solution of the model. The existence of a unique solution to the model has been investigated using the Lipschitz condition and fixed point theory. The local asymptotic stability of equilibrium point is also discussed. Graphical analysis are carried out in order to demonstrate the impact of fractional order.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 02 November 2024

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History

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

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