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

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Year of Publication: 2016
M. Khalid, Fareeha Sami Khan, Azhar Iqbal

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

	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 = {},
	doi = {10.5120/ijca2016909891},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}


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