Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627599 | Applied Mathematics and Computation | 2014 | 14 Pages |
Abstract
We present a generalization of Hilfer derivatives in which Riemann–Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties. Furthermore, we show some applications of these generalized Hilfer–Prabhakar derivatives in classical equations of mathematical physics such as the heat and the free electron laser equations, and in difference–differential equations governing the dynamics of generalized renewal stochastic processes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Roberto Garra, Rudolf Gorenflo, Federico Polito, Živorad Tomovski,