General Fractional Integrals and Derivatives of Arbitrary Order

In this paper, we introduce the general fractional integrals and derivatives of arbitrary order and study some of their basic properties and particular cases. First, a suitable generalization of the Sonine condition is presented, and some important classes of the kernels that satisfy this condition...

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Bibliographic Details
Main Author: Yuri Luchko
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/5/755