Some properties of Prabhakar-type fractional calculus operators
By Federico Polito, Ž. Tomovski. 2015
93 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/ed799a3664232e514efa9ecac159dbd72371ee56
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In Applied Mathematics
- Roberto Garrappa
- Federico Polito
- Roberto Garra
- Francesco Mainardi
- Maione Guido
- Andrea Giusti
- Sergei Rogosin
- Zaid M. Odibat
Citations in the corpus
- A practical guide to Prabhakar fractional calculus (2020, background): “[124].”
- Models of dielectric relaxation based on completely monotone functions (2016, methodology): “An alternative way to introduce operators for the HN model can be devised on the basis of the work presented in [31] (successively studied also in [99]) and concerning the so-called Prabhakar integrals and derivatives.”