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International Journal of Computer Applications

Foundation of Computer Science (FCS), NY, USA

Year of Publication: 2016

10.5120/ijca2016909891 |

Fareeha Sami Khan M. Khalid and Azhar Iqbal. Perturbation-Iteration Algorithm to Solve Fractional Giving Up Smoking Mathematical Model. *International Journal of Computer Applications* 142(9):1-6, May 2016. BibTeX

@article{10.5120/ijca2016909891, author = {M. Khalid, Fareeha Sami Khan and 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 = {6}, url = {http://www.ijcaonline.org/archives/volume142/number9/24921-2016909891}, doi = {10.5120/ijca2016909891}, publisher = {Foundation of Computer Science (FCS), NY, USA}, address = {New York, 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.

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### Keywords

Smoking, Perturbation Iteration Algorithm, Caputo Fractional Derivative, Stability Analysis