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

Uçar Esmehan, Uçar Sümeyra, Evirgen Fırat, Özdemir Necati

Foundations of Computing and Decision Sciences

2021

Vol. 46, No. 1

97--109

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.

Finite Blaschke products and decomposition

Uçar Sümeyra, Ӧzgür Nihal Yılmaz

Journal of Mathematics and Applications

2019

Vol. 42

187--202

Let B(z) be a finite Blaschke product of degree n. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition B ◦ M = B where M is a Mobius transformation from the unit disk onto itself.