Some Properties of Prabhakar-type Fractional Calculus Operators
classification
🧮 math.PR
math.CA
keywords
somederivativeprabhakarpropertiescalculusderivativesderivedextensions
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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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