Operational Calculus for the General Fractional Derivatives of Arbitrary Order

Operational Calculus for the General Fractional Derivatives of Arbitrary Order

In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin. In particular, we introduce the sequential fractional derivative...

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Bibliographic Details
Main Authors: Maryam Al-Kandari, Latif A-M. Hanna, Yuri Luchko
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Mathematics
Subjects:
Sonine kernel
general fractional integral
general fractional derivative of arbitrary order
fundamental theorems of fractional calculus
operational calculus
convolution series
Online Access:https://www.mdpi.com/2227-7390/10/9/1590

Internet

https://www.mdpi.com/2227-7390/10/9/1590

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