Investigation of e-cigarette smoking model with mittag-leffler kernel

Abstract

Smoking is the most lethal social poisoning event. The World HealthOrganization defines smoking as the most important preventable cause of disease.Around 4.9 million people worldwide die from smoking every year. In order to analysisthis matter, we aim to investigate an e-cigarette smoking model with Atangana-Baleanu fractional derivative. We obtain the existence conditions of the solution forthis fractional model utilizing fixed-point theory. After giving existence conditions,the uniqueness of the solution is proved. Finally, to show the effect of the Atangana-Baleanu fractional derivative on the model, we give some numerical results supportedby illustrative graphics.