%0 Journal Article
%T Fractional derivatives of Colombeau generalized stochastic processes defined on R+
%A Danijela Rajter-£¿iri£¿
%J Applicable Analysis and Discrete Mathematics
%D 2011
%I University of Belgrade and Academic Mind
%R 10.2298/aadm110824020r
%X We consider Caputo and Riemann-Liouville fractional derivatives of a Colombeau generalized stochastic process $G$ defined on ${mathbb R}^+$. We give proper definitions and prove that both are Colombeau generalized stochastic processes themselves. We also give a solution to a certain Cauchy problem illustrating the application of the theory.
%K Colombeau generalized stochastic processes
%K Fractional derivatives
%U http://pefmath.etf.rs/vol5num2/AADM-Vol5-No2-283-297.pdf