Ahmad, AqeelFarman, MuhammadNaik, Parvaiz AhmadAkgul, Ali2024-12-242024-12-242022978-877022694-3978-877022695-0https://hdl.handle.net/20.500.12604/4104In this chapter, the true purpose of the current work is to develop and analyze the Caputo-Fabrizio scheme of fractional derivative model for the Smoking epidemic, which contains an antiretroviral treatment compartment. Stability analysis has been made using self-mapping and Banach space and derives a unique solution for the fractional-order model, which is a new approach for such type of biological models. A few numerical simulations are done by using the given method of fractional order to explain and support the theoretical results. © 2022 River Publishers. All rights reserved.eninfo:eu-repo/semantics/closedAccessCaputo-FabrizioEpidemic smoking modelSumudu TransformUniqueness.Book Chapter122N/A2-s2.0-85150667971