A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model

Arshad, Muhammad SarmadBaleanu, DumitruRiaz, Muhammad BilalAbbas, Muhammad2021-01-072021-01-072020Arshad, Muhammad Sarmad...et al. (2020). "A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model", Discrete Dynamics in Nature and Society, Vol. 2020.1026-02261607-887Xhttp://hdl.handle.net/20.500.12416/4437In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge-Kutta (FRK) method has been presented. The proposed fractional numerical method has been implemented to find the solution of fractional differential equations. The proposed novel method will be helpful to derive the higher-order family of fractional Runge-Kutta methods. The nonlinear fractional Logistic Growth Model is solved and analyzed. The numerical results and graphs of the examples demonstrate the effectiveness of the method.eninfo:eu-repo/semantics/openAccessPartial-Differential-EquationsDiffusion EquationNumerical TechniqueA Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth ModelA Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth ModelArticle202010.1155/2020/1020472