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arXiv · 1508.03224

Some Properties of Prabhakar-type Fractional Calculus Operators

Federico Polito·Zivorad Tomovski
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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.

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BibTeXRIS

Federico Polito, Zivorad Tomovski. 2015-08-13. Some Properties of Prabhakar-type Fractional Calculus Operators. https://doi.org/10.7153/fdc-06-05

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