Investigation of E-Cigarette Smoking Model with Mittag-Leffler Kernel
Esmehan Uçar, Sümeyra Uçar, Fırat Evirgen, Necati Özdemir
Abstract
Abstract Smoking is the most lethal social poisoning event. The World Health Organization defines smoking as the most important preventable cause of disease. Around 4.9 million people worldwide die from smoking every year. In order to analysis this matter, we aim to investigate an e-cigarette smoking model with Atangana-Baleanu fractional derivative. We obtain the existence conditions of the solution for this 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 supported by illustrative graphics.
Topics & Concepts
UniquenessKernel (algebra)Applied mathematicsCigarette smokingComputer scienceFractional calculusFixed-point theoremOrder (exchange)Epidemic modelMathematicsEconometricsEnvironmental healthMedicineMathematical analysisPure mathematicsBusinessPopulationFinanceInternal medicineFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical and Theoretical Epidemiology and Ecology Models