Investigation of E-Cigarette Smoking Model with Mittag-Leffler Kernel

Autor: Uçar Esmehan, Uçar Sümeyra, Evirgen Fırat, Özdemir Necati
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Foundations of Computing and Decision Sciences, Vol 46, Iss 1, Pp 97-109 (2021)
Druh dokumentu: article
ISSN: 2300-3405
DOI: 10.2478/fcds-2021-0007
Popis: 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.
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