Some Properties of Prabhakar-type Fractional Calculus Operators
Probability
2018-04-04 v3 Classical Analysis and ODEs
Abstract
In this paper we study some properties of the Prabhakar integrals and derivatives and of some of their extensions such as the regularized Prabhakar derivative or the Hilfer--Prabhakar derivative. Some Opial- and Hardy-type inequalities are derived. In the last section we point out on some relationships with probability theory.
Keywords
Cite
@article{arxiv.1508.03224,
title = {Some Properties of Prabhakar-type Fractional Calculus Operators},
author = {Federico Polito and Zivorad Tomovski},
journal= {arXiv preprint arXiv:1508.03224},
year = {2018}
}