A NOTE ON THE INCOMPATIBILITY OF AUTONOMOUS FRACTIONAL DIFFERENTIAL SYSTEMS AND FRACTIONAL DERIVATIVES WITH NON-SINGULAR KERNELS

Redouane Douaifia, Mathkar Alharthi (), Samir Bendoukha, Salem Abdelmalek, Emad Ali and Nabil Barhoumi
Additional contact information
Redouane Douaifia: Process Engineering Department, Faculty of Technology, University of Blida 1, Blida 09000, Algeria2Laboratory Water Environment and Sustainable Development, Faculty of Technology, University of Blida 1, Blida 09000, Algeria
Mathkar Alharthi: Department of Chemical Engineering, College of Engineering at Yanbu, Taibah University, Yanbu 46477, Saudi Arabia
Samir Bendoukha: Department of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Yanbu 46477, Saudi Arabia
Salem Abdelmalek: Department of Mathematics, Echahid Cheikh Larbi Tebessi University, Tebessa 12022, Algeria6Laboratory of Mathematics, Informatics and Systems (LAMIS), Echahid Cheikh Larbi Tebessi University, Tebessa 12022, Algeria
Emad Ali: Chemical Engineering Department, King Saud University, P. O. Box 800, Riyadh 11421, Saudi Arabia
Nabil Barhoumi: Department of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Yanbu 46477, Saudi Arabia8University of Monastir, École Nationale d’ingénieurs de Monastir, LAS2E, Monastir 5019, Tunisia

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-12

Abstract: This paper addresses a critical oversight in the modeling of autonomous fractional differential systems using fractional derivatives with non-singular kernels such as the Caputo–Fabrizio (CF) and Atangana–Baleanu–Caputo (ABC) derivatives. We demonstrate that for such systems to be well defined, the initial condition must be an equilibrium point, which significantly limits the practical applicability of these models, a fact often overlooked in existing studies, leading to incorrect conclusions.

Keywords: Autonomous Fractional Systems; Fractional Derivative; Atangana–Baleanu–Caputo; Caputo–Fabrizio; Non-singular Kernels (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X25401644
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401644

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X25401644

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().