| Summary: | Smoking is one of the major cause of health problems around the globe. The present article deals with the dynamics of giving up smoking model of fractional order. We study analytical solution (approximate solution) of the concerned model with the help of Laplace transformation. The solution of the model will be obtained in form of infinite series which converges rapidly to its exact value. Moreover, we compare our results with the results obtained by Runge-Kutta method. Some plots are presented to show the reliability and simplicity of the method. Keywords: Smoking dynamics, Mathematical models, Fractional derivatives, Laplace-Adomian decomposition method, Analytical solution
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