Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative

Sümeyra Uçar, Esmehan Uçar, Necati Özdemir and Zakia Hammouch

Chaos, Solitons & Fractals, 2019, vol. 118, issue C, 300-306

Abstract: This paper ensures meticulous mathematical study for analyzing the dynamics of smoking model and its public health with Atangana–Baleanu derivative. The existence and uniqueness problems to relevant model are examined via fixed point theory. The results are implemented by giving some illustrative graphics including the variation of fractional order.

Keywords: Fractional differential equations; Fixed point theory; Atangana–Baleanu derivative; Smoking model; Predictor-Corrector scheme (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:118:y:2019:i:c:p:300-306

DOI: 10.1016/j.chaos.2018.12.003

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