A note on fractional derivatives of Colombeau generalized stochastic processes


Danijela Rajter-Ćirić




In this paper we consider a Caputo fractional derivative of a Colombeau generalized stochastic process $G$. In general, with some restrictions given on $G$, it is a Colombeau generalized stochastic process itself. Here we explore some other possible approaches in defining algebras of generalized fractional derivatives.