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Browsing by Author "Arshad, Muhammad Sarmad"

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    Citation Count: Arshad, 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.
    A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model
    (2020) Arshad, Muhammad Sarmad; Baleanu, Dumitru; Riaz, Muhammad Bilal; Abbas, Muhammad; 56389
    In 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.