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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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آمار تعداد مشاهده مقاله: 264 تعداد دریافت فایل اصل مقاله: 357 |
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