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On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address these challenges, we have developed a univers...

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Principais autores: Zelin Liu, Xiaobin Yu, Yajun Yin
Format: Artigo
Sprog:Inglês
Udgivet: MDPI AG 2024-11-01
Serier:Fractal and Fractional
Fag:
fractional calculus
physical fractal space
Sonine kernel
operational calculus
commutativity
Online adgang:https://www.mdpi.com/2504-3110/8/11/653
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