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
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author Zeb, Anwar
Zaman, Gul
ERTURK, Vedat Suat
Alzalg, Baha
Yousafzai, Faisal
Khan, Madad
author_facet Zeb, Anwar
Zaman, Gul
ERTURK, Vedat Suat
Alzalg, Baha
Yousafzai, Faisal
Khan, Madad
author_sort Zeb, Anwar
collection PubMed
description 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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spelling pubmed-48415312016-04-29 Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order Zeb, Anwar Zaman, Gul ERTURK, Vedat Suat Alzalg, Baha Yousafzai, Faisal Khan, Madad PLoS One Research Article 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. Public Library of Science 2016-04-22 /pmc/articles/PMC4841531/ /pubmed/27105426 http://dx.doi.org/10.1371/journal.pone.0103617 Text en © 2016 Zeb et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Zeb, Anwar
Zaman, Gul
ERTURK, Vedat Suat
Alzalg, Baha
Yousafzai, Faisal
Khan, Madad
Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
title Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
title_full Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
title_fullStr Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
title_full_unstemmed Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
title_short Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order
title_sort approximating a giving up smoking dynamic on adolescent nicotine dependence in fractional order
topic Research Article
url 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
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