Analytical approximate solution of fractional order smoking epidemic model-Reference-Cited by-同舟云学术

Analytical approximate solution of fractional order smoking epidemic model

Published:2022-09 Issue:9 Volume:14 Page:168781322211238
ISSN:1687-8132
Container-title:Advances in Mechanical Engineering
language:en
Short-container-title:Advances in Mechanical Engineering

Author:

Günerhan Hatıra¹,Rezazadeh Hadi²,Adel Waleed³,Hatami Mohammad⁴,Sagayam Kulandairaj Martin⁵,Emadifar Homan⁶⁷,Asjad Muhammad Imran⁸^ORCID,Hamasalh Faraidun K⁷,Hamoud Ahmed A⁹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Education, Kafkas University, Kars, Turkey

2. Faculty of Engineering Technologies, Amol University of Special Modern Technologies, Amol, Iran

3. Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura, Egypt

4. Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, Iran

5. Department of ECE, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India

6. Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

7. Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Iraq

8. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

9. Department of Mathematics, Taiz University, Taiz, Yemen

Abstract

In this paper, the fractional smoking epidemic model is presented. The model is presented in terms of Caputo’s fractional derivation. The fractional differential transformation method (FDTM) is presented to find an approximate analytical solution to the model. The method is tested on the model and the solution is compared with the homotopy transform method. The method shows the form of fast converging series and the results prove the applicability of the proposed technique, which gives accurate results.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1177/16878132221123888

Reference47 articles.

1. WHO. 2010. https://www.who.int/news-room/fact-sheets/detail/tobacco

2. Influence of Relapse in a Giving Up Smoking Model

3. Deterministic and stochastic stability of a mathematical model of smoking

4. Solving a model for the evolution of smoking habit in Spain with homotopy analysis method

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