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

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  • Anwar Zeb
  • Gul Zaman
  • Vedat Suat ERTURK
  • Baha Alzalg
  • Faisal Yousafzai
  • Madad Khan

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.

Suggested Citation

  • Anwar Zeb & Gul Zaman & Vedat Suat ERTURK & Baha Alzalg & Faisal Yousafzai & Madad Khan, 2016. "Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order," PLOS ONE, Public Library of Science, vol. 11(4), pages 1-10, April.
    • Handle: RePEc:plo:pone00:0103617
    DOI: 10.1371/journal.pone.0103617
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