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The Chain Rule for Fractional-Order Derivatives: Theories, Challenges, and Unifying Directions

The chain rule is a foundational concept in calculus, critical for differentiating composite functions, especially those appearing in modern AI techniques. Its extension to fractional calculus presents challenges due to the integral-based nature and intrinsic memory effects of these fractional opera...

Celý popis

Uloženo v:
Hlavní autoři: Sroor M. Elnady, Mohamed A. El-Beltagy, Mohammed E. Fouda, Ahmed G. Radwan
Médium: Artigo
Jazyk:Inglês
Vydáno: MDPI AG 2026-02-01
Edice:AppliedMath
Témata:
chain rule
fractional derivatives
Riemann-Liouville
Caputo
Caputo-Fabrizio
Atangana-Baleanu
On-line přístup:https://www.mdpi.com/2673-9909/6/2/25
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