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

Joint Authors

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

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2020-06-10

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Arshad, Muhammad Sarmad& Baleanu, Dumitru& Riaz, Muhammad Bilal& Abbas, Muhammad. 2020. A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1152772

Modern Language Association (MLA)

Arshad, Muhammad Sarmad…[et al.]. A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1152772

American Medical Association (AMA)

Arshad, Muhammad Sarmad& Baleanu, Dumitru& Riaz, Muhammad Bilal& Abbas, Muhammad. A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1152772

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1152772