General Fractional Integrals and Derivatives with the Sonine Kernels

General Fractional Integrals and Derivatives with the Sonine Kernels

In this paper, we address the general fractional integrals and derivatives with the Sonine kernels on the spaces of functions with an integrable singularity at the point zero. First, the Sonine kernels and their important special classes and particular cases are discussed. In particular, we introduc...

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Bibliographic Details
Main Author: Yuri Luchko
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
Sonine kernel
Sonine condition
general fractional derivative
general fractional integral
n-fold general fractional derivative
n-fold general fractional integral
Online Access:https://www.mdpi.com/2227-7390/9/6/594

Internet

https://www.mdpi.com/2227-7390/9/6/594

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