<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Department of Mathematics, Faculty of Arts and Sciences

Foundations of Computing and Decision Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Investigation of E-Cigarette Smoking Model with Mittag-Leffler Kernel"}

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...

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

Publié en ligne: 01 mars 2021

Pages: 97 - 109

Reçu: 14 juin 2020

Accepté: 15 déc. 2020

DOI: https://doi.org/10.2478/fcds-2021-0007

Mots clés
Atangana-Baleanu derivative, fixed point theory, e-cigarette smoking model, numerical method

© 2021 Esmehan Uçar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Publié en ligne: 01 mars 2021

Pages: 97 - 109

Reçu: 14 juin 2020

Accepté: 15 déc. 2020

DOI: https://doi.org/10.2478/fcds-2021-0007

Mots clésAtangana-Baleanu derivative, fixed point theory, e-cigarette smoking model, numerical method

© 2021 Esmehan Uçar et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
Atangana-Baleanu derivative, fixed point theory, e-cigarette smoking model, numerical method