A study on the fractal-fractional tobacco smoking model-Reference-Cited by-同舟云学术

A study on the fractal-fractional tobacco smoking model

Published:2022 Issue:8 Volume:7 Page:13887-13909
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Khan Hasib¹²,Alzabut Jehad²³,Shah Anwar⁴,Etemad Sina⁵,Rezapour Shahram⁵⁶,Park Choonkil⁷

Affiliation:

1. Department of Mathematics, Shaheed Benazir Bhutto Uniersity, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia

3. Department of Industrial Engineering, OSTİM Technical University, 06374 Ankara, Türkiye

4. Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan

5. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

7. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Abstract

<abstract><p>In this article, we consider a fractal-fractional tobacco mathematical model with generalized kernels of Mittag-Leffler functions for qualitative and numerical studies. From qualitative point of view, our study includes; existence criteria, uniqueness of solution and Hyers-Ulam stability. For the numerical aspect, we utilize Lagrange's interpolation polynomial and obtain a numerical scheme which is further illustrated simulations. Lastly, a comparative analysis is presented for different fractal and fractional orders. The numerical results are divided into four figures based on different fractal and fractional orders. We have found that the fractional and fractal orders have a significant impact on the dynamical behaviour of the model.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference76 articles.

1. A. W. Bergen, N. Caporaso, Cigarette smoking, J. Natl. Cancer Inst., 91 (1999), 1365–1376. https://doi.org/10.1093/jnci/91.16.1365

2. N. J. Wald, A. K. Hackshaw, Cigarette smoking: an epidemiological overview, Brit. Med. Bull., 52 (1996), 3–11. https://doi.org/10.1093/oxfordjournals.bmb.a011530

3. B. Lloyd, K. Lucas, Smoking in adolescence: images and identities, London: Routledge, 1998.

4. S. Cohen, E. Lichtenstein, Perceived stress, quitting smoking, and smoking relapse, Health Psychol., 9 (1990), 466–478. https://doi.org/10.1037//0278-6133.9.4.466

5. A. H. Mokdad, J. S. Marks, D. F. Stroup, J. L. Gerberding, Actual causes of death in the United States, JAMA, 291 (2004), 1238–1245. https://doi.org/10.1001/jama.291.10.1238

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Essential criteria for existence of solution of a modified-ABC fractional order smoking model;Ain Shams Engineering Journal;2024-02

2. Theoretical and numerical treatment for the fractal-fractional model of pollution for a system of lakes using an efficient numerical technique;Alexandria Engineering Journal;2023-11

3. Fractional-order modelling and analysis of diabetes mellitus: Utilizing the Atangana-Baleanu Caputo (ABC) operator;Alexandria Engineering Journal;2023-10

4. An efficient method for the fractional electric circuits based on Fibonacci wavelet;Results in Physics;2023-09

5. A numerical investigation of marriage divorce model: Fractal fractional perspective;Scientific African;2023-09