Fractional Scale Calculus: Hadamard vs. Liouville

A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced. Scale-invariant systems are described and exemplified. F...

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Bibliographic Details
Main Authors: Manuel D. Ortigueira, Gary W. Bohannan
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/7/4/296