A powerful tool for dealing with high-dimensional fractional-order systems with applications to fractional Emden–Fowler systems

Autor: Shaher Momani, Iqbal M. Batiha, Amira Abdelnebi, Iqbal H. Jebril
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Chaos, Solitons & Fractals: X, Vol 12, Iss , Pp 100110- (2024)
Druh dokumentu: article
ISSN: 2590-0544
DOI: 10.1016/j.csfx.2024.100110
Popis: In this study, an approximation solution for a high-dimensional system in terms of the Caputo fractional derivative operator is obtained using the improved modified fractional Euler method, or IMFEM for short. To accomplish this aim, a result that can transform such a system into a double-equation, one-dimensional fractional-order system, is provided theoretically. Some physical applications, including fractional-order systems of equations of Emden–Fowler type, are discussed, and their graphs are plotted using MATLAB to demonstrate the IMFEM schema’s validity.
Databáze: Directory of Open Access Journals