Author(s)

Anwar Zeb, M. Ikhlaq Chohan, Gul Zaman

Buraimi University College, Department of Business Administration and Accounting, Al-Buraimi, Oman.
Department of Mathematics, University of Malakand, Chakdara Dir (Lower) Khyber Pakhtunkhawa, Pakistan.

In this paper, we consider the giving up smoking model. First, we present the giving up smoking model in fractional order. Then the homotopy analysis method (HAM) is employed to compute an approximate and analytical solution of the model in fractional order. The obtained results are compaired with those obtained by forth order Runge-Kutta method and nonstandard numerical method in the integer case. Finally, we present some numerical results.

Fractional Differential Equations; Epidemic Model; Homotopy Analysis Method

A. Zeb, M. Chohan and G. Zaman, "The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order," Applied Mathematics, Vol. 3 No. 8, 2012, pp. 914-919. doi: 10.4236/am.2012.38136.