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

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 compa...

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Detalles Bibliográficos
Autores principales: Zeb, Anwar, Zaman, Gul, ERTURK, Vedat Suat, Alzalg, Baha, Yousafzai, Faisal, Khan, Madad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4841531/
https://www.ncbi.nlm.nih.gov/pubmed/27105426
http://dx.doi.org/10.1371/journal.pone.0103617
Descripción
Sumario: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.

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