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

被引：0

作者：

Douaifia, Redouane ^{[1
,2
]}

Alharthi, Mathkar ^{[3
]}

Bendoukha, Samir ^{[4
]}

Abdelmalek, Salem ^{[5
,6
]}

Ali, Emad ^{[7
]}

Barhoumi, Nabil ^{[4
,8
]}

机构：

[1] Univ Blida 1, Fac Technol, Proc Engn Dept, Blida 09000, Algeria

[2] Univ Blida 1, Fac Technol, Lab Water Environm & Sustainable Dev, Blida 09000, Algeria

[3] Taibah Univ, Coll Engn Yanbu, Dept Chem Engn, Yanbu 46477, Saudi Arabia

[4] Taibah Univ, Coll Engn Yanbu, Dept Elect Engn, Yanbu 46477, Saudi Arabia

[5] Echahid Cheikh Larbi Tebessi Univ, Dept Math, Tebessa 12022, Algeria

[6] Echahid Cheikh Larbi Tebessi Univ, Lab Math Informat & Syst LAMIS, Tebessa 12022, Algeria

[7] King Saud Univ, Chem Engn Dept, POB 800, Riyadh 11421, Saudi Arabia

[8] Univ Monastir, Ecole Natl Ingenieurs Monastir, LAS2E, Monastir 5019, Tunisia

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2025年

关键词：

Autonomous Fractional Systems; Fractional Derivative; Atangana-Baleanu-Caputo; Caputo-Fabrizio; Non-singular Kernels; MATHEMATICAL-ANALYSIS; SMOKING MODEL; RC CIRCUIT; DYNAMICS; TRANSMISSION; SIMULATION; INFECTION;

D O I：

10.1142/S0218348X25401644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：12

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