On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral

In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties. In particular, we characterize...

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Bibliographic Details
Main Author: Yuri Luchko
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/13/9/604
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