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

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Zeb A., Zaman G., Ertürk V. S., Alzalg B., Yousafzai F., Khan M.

PLOS ONE, vol.11, no.4, 2016 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.1371/journal.pone.0103617
  • Journal Name: PLOS ONE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ondokuz Mayıs University Affiliated: Yes


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.