Stochastic Population Growth Model Using Three-Point Fractional Formula
摘要
This paper aims to present a numerical solution to the fractional stochastic population growth model equation by using modified three-point fractional formula. Such a formula, which can be derived from the generalized Taylor theorem, is used to approximate Riemann-Liouville fractional integral operator. To show the effectiveness of the numerical method, the approximate solution is compared with the exact solution coupled with the approximate solution generated from the Euler-Maruyama method. Finally, the results of numerical experiments are supported with graphs for completeness.