Muhammad Farman1,2,3,*, Noreen Asghar4, Muhammad Umer Saleem4, Kottakkaran Sooppy Nisar5,6, Kamyar Hosseini1,2,7, Mohamed Hafez8,9
CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.1, pp. 721-751, 2025, DOI:10.32604/cmes.2025.069541
- 30 October 2025
Abstract Smoking is harmful to the lungs and has numerous effects on our bodies. This leads to decreased lung function, which increases the lungs’ susceptibility to asthma triggers. In this paper, we develop a new fractional-order model and investigate the impact of smoking on the progression of asthma by using the Caputo operator to analyze different factors. Using the Banach contraction principle, the existence and uniqueness of solutions are established, and the positivity and boundedness of the model are proved. The model further incorporates different stages of smoking to account for incubation periods and other latent… More >