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

• Autorzy: Uçar Esmehan , Uçar Sümeyra , Evirgen Fırat , Özdemir Necati

Identyfikatory

DOI

10.2478/fcds-2021-0007

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Atangana-Baleanu derivative; fixed point theory; e-cigarette smoking model; numerical method

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Computing and Decision Sciences
• Rocznik: 2021
• Tom: Vol. 46, No. 1
• Strony: 97--109
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Uçar Esmehan

• Department of Mathematics, Balıkesir University, Turkey.

autor

Uçar Sümeyra

• Department of Mathematics, Faculty of Arts and Sciences, Balıkesir University, Turkey

autor

Evirgen Fırat

• Department of Mathematics, Faculty of Arts and Sciences, Balıkesir University, Turkey

autor

Özdemir Necati

• Department of Mathematics, Faculty of Arts and Sciences, Balıkesir University, Turkey

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).