Some Properties of Prabhakar-type Fractional Calculus Operators

Published 13 Aug 2015 in math.PR and math.CA | (1508.03224v3)

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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