Fractional Order Runge–Kutta Methods

Fractional Order Runge–Kutta Methods

This paper presents a new class of fractional order Runge–Kutta (FORK) methods for numerically approximating the solution of fractional differential equations (FDEs). We construct explicit and implicit FORK methods for FDEs by using the Caputo generalized Taylor series formula. Due to the dependence...

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Bibliographic Details
Main Authors: Farideh Ghoreishi, Rezvan Ghaffari, Nasser Saad
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Fractal and Fractional
Subjects:
fractional differential equations
Caputo fractional derivative
convergence analysis
consistency
stability analysis
Online Access:https://www.mdpi.com/2504-3110/7/3/245

Internet

https://www.mdpi.com/2504-3110/7/3/245

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