Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

In this paper, we first consider the general fractional derivatives of arbitrary order defined in the Riemann–Liouville sense. In particular, we deduce an explicit form of their null space and prove the second fundamental theorem of fractional calculus that leads to a closed form formula for their p...

Full description

Bibliographic Details
Main Author: Yuri Luchko
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Mathematics
Subjects:
Sonine kernel
Sonine condition
general fractional integral
general fractional derivative of arbitrary order
fundamental theorems of fractional calculus
operational calculus
Online Access:https://www.mdpi.com/2227-7390/10/6/849

Internet

https://www.mdpi.com/2227-7390/10/6/849

Similar Items