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

Arshad, Muhammad Sarmad; Baleanu, Dumitru; Riaz, Muhammad Bilal; Abbas, Muhammad

dc.contributor.author	Arshad, Muhammad Sarmad
dc.contributor.author	Baleanu, Dumitru
dc.contributor.author	Riaz, Muhammad Bilal
dc.contributor.author	Abbas, Muhammad
dc.date.accessioned	2021-01-07T11:40:54Z
dc.date.available	2021-01-07T11:40:54Z
dc.date.issued	2020-06-10
dc.identifier.citation	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.	tr_TR
dc.identifier.issn	1026-0226
dc.identifier.issn	1607-887X
dc.identifier.uri	http://hdl.handle.net/20.500.12416/4437
dc.description.abstract	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.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.1155/2020/1020472	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Partial-Differential-Equations	tr_TR
dc.subject	Diffusion Equation	tr_TR
dc.subject	Numerical Technique	tr_TR
dc.title	A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Discrete Dynamics in Nature and Society	tr_TR
dc.contributor.authorID	56389	tr_TR
dc.identifier.volume	2020	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü	tr_TR