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A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 آبان 1403 اصل مقاله (2.29 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 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. | ||
| کلیدواژه‌ها | ||
| Smoking Model؛ Caputo Fractional Derivative؛ Modified Atangana-Baleanu Caputo Derivative؛ Yang Transform Decomposition Technique | ||
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آمار تعداد مشاهده مقاله: 81 تعداد دریافت فایل اصل مقاله: 187 |
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