A novel 2-stage fractional Runge-Kutta method for a time-fractional logistic growth model
type: Item
instance of: scholarly article
title: A novel 2-stage fractional Runge-Kutta method for a time-fractional logistic growth model
zbMATH Open document ID: 1459.65109
DOI: 10.1155/2020/1020472
author: Muhammad Sarmad Arshad
author: D. Baleanu
author: Muhammad Bilal Riaz
author: Muhammad Abbas
published in: Discrete Dynamics in Nature and Society
publication date: 2020-07-22T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 7224122
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1020472
OpenAlex ID: W3034680132
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description: scientific article; zbMATH DE number 7224122