Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order

Anwar Zeb, Gul Zaman, Vedat Suat Erturk, Baha Alzalg, Faisal Yousafzai and Madad Khan

PLOS ONE, 2016, vol. 11, issue 4, 1-10

Abstract: In this work, we consider giving up smoking dynamic on adolescent nicotine dependence. First, we use the Caputo derivative to develop the model in fractional order. Then we apply two different numerical methods to compute accurate approximate solutions of this new model in fractional order and compare their results. In order to do this, we consider the generalized Euler method (GEM) and multi-step generalized differential transform method (MSGDTM). We also show the unique positive solution for this model and present numerical results graphically.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0103617

DOI: 10.1371/journal.pone.0103617

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