Hilfer-Prabhakar derivatives and some applications
نویسندگان
چکیده
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. Further, we show some applications of these generalized Hilfer–Prabhakar derivatives in classical equations of mathematical physics, like the heat and the free electron laser equations, and in difference-differential equations governing the dynamics of generalized renewal stochastic processes.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 242 شماره
صفحات -
تاریخ انتشار 2014