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 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.
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, KPK, Pakistan.
Anwar
A
Zeb
Department of Mathematics, University of Malakand, Chakdara Dir (Lower), Khyber Pakhtunkhawa, Pakistan.
Gul
G
Zaman
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139, Samsun, Turkey.
Vedat Suat
VS
Erturk
Department of Mathematics, The University of Jordan, Amman 11942, Jordan.
Baha
B
Alzalg
Department of Mathematics, COMSATS Institute of Information Technology Attack, Pakistan.
Faisal
F
Yousafzai
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, KPK, Pakistan.
Madad
M
Khan
D000293:Adolescent; D000294:Adolescent Behavior; D000465:Algorithms; D006801:Humans; D008962:Models, Theoretical; D016540:Smoking Cessation / Q000523:psychology / Q000706:statistics & numerical data; D013223:Statistics as Topic / Q000379:methods; D014029:Tobacco Use Disorder / Q000453:epidemiology / Q000628:therapy*