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Reseach Article

Perturbation-Iteration Algorithm to Solve Fractional Giving Up Smoking Mathematical Model

by M. Khalid, Fareeha Sami Khan, Azhar Iqbal
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 142 - Number 9
Year of Publication: 2016
Authors: M. Khalid, Fareeha Sami Khan, Azhar Iqbal
10.5120/ijca2016909891

M. Khalid, Fareeha Sami Khan, Azhar Iqbal . Perturbation-Iteration Algorithm to Solve Fractional Giving Up Smoking Mathematical Model. International Journal of Computer Applications. 142, 9 ( May 2016), 1-6. DOI=10.5120/ijca2016909891

@article{ 10.5120/ijca2016909891,
author = { M. Khalid, Fareeha Sami Khan, Azhar Iqbal },
title = { Perturbation-Iteration Algorithm to Solve Fractional Giving Up Smoking Mathematical Model },
journal = { International Journal of Computer Applications },
issue_date = { May 2016 },
volume = { 142 },
number = { 9 },
month = { May },
year = { 2016 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume142/number9/24921-2016909891/ },
doi = { 10.5120/ijca2016909891 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:44:30.810541+05:30
%A M. Khalid
%A Fareeha Sami Khan
%A Azhar Iqbal
%T Perturbation-Iteration Algorithm to Solve Fractional Giving Up Smoking Mathematical Model
%J International Journal of Computer Applications
%@ 0975-8887
%V 142
%N 9
%P 1-6
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, a numerical technique is applied to a five variable giving up smoking fractional mathematical model. This model is based on five types of smokers, i.e. potential, occasional, heavy, temporary quitters and permanent quitters. Efficacy of Perturbation Iteration Algorithm on fractional system of differential equations is shown graphically between standard Runge-Kutta method and PIA.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Smoking Perturbation Iteration Algorithm Caputo Fractional Derivative Stability Analysis