Characterizing Variable Memory Property of the Smoking Habit Model

2019 Current science international  
Fractional calculus is one of the best mathematical tools to characterize the memory property of the dynamical systems. So, Variable-order fractional derivatives in Caputo sense are used in characterizing the memory property of the presented dynamic smoking habit model. Numerical solutions are obtained using a predictor-corrector method to handle the fractional derivatives. These numerical solutions show that the modeling of smoking habit model with variable-order fractional derivatives has more advantaged than integer-order derivatives.
doi:10.36632/csi/2019.8.4.31 fatcat:3f4ocoqjzjhxhk23jlolefwgem