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Panwar, Savita, Pandey, Rupakshi, Purohit, Sunil, -, Shyamsunder. (1405). A mathematical analysis of a non-linear smoking model via fractional operators. سامانه مدیریت نشریات علمی, 14(1), 60-80. doi: 10.22034/cmde.2024.62331.2738
Savita Panwar; Rupakshi Mishra Pandey; Sunil Dutt Purohit; Shyamsunder -. "A mathematical analysis of a non-linear smoking model via fractional operators". سامانه مدیریت نشریات علمی, 14, 1, 1405, 60-80. doi: 10.22034/cmde.2024.62331.2738
Panwar, Savita, Pandey, Rupakshi, Purohit, Sunil, -, Shyamsunder. (1405). 'A mathematical analysis of a non-linear smoking model via fractional operators', سامانه مدیریت نشریات علمی, 14(1), pp. 60-80. doi: 10.22034/cmde.2024.62331.2738
Panwar, Savita, Pandey, Rupakshi, Purohit, Sunil, -, Shyamsunder. A mathematical analysis of a non-linear smoking model via fractional operators. سامانه مدیریت نشریات علمی, 1405; 14(1): 60-80. doi: 10.22034/cmde.2024.62331.2738

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

Computational Methods for Differential Equations
مقاله 6، دوره 14، شماره 1، فروردین 2026، صفحه 60-80    اصل مقاله (1.67 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.62331.2738
نویسندگان
Savita Panwar1؛ Rupakshi Mishra Pandey1؛ Sunil Dutt Purohit* 2؛ Shyamsunder -3
1Amity Institute of Applied Sciences, Amity University Uttar Pradesh, Noida, India.
2Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India.
3Department of Mathematics, SRM University Delhi-NCR, Sonepat-131029, Haryana, India.
چکیده
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.
کلیدواژه‌ها
Smoking model؛ Yang transform decomposition technique؛ Caputo fractional derivative؛ Modified Atangana-Baleanu Caputo derivative
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