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https://open.uns.ac.rs/handle/123456789/28998
Title: | Fractional derivatives of multidimensional Colombeau generalized stochastic processes | Authors: | Rajter-Ćirić Danijela Stojanović Mirjana |
Issue Date: | 2013 | Journal: | Fractional Calculus and Applied Analysis | Abstract: | We consider fractional derivatives of a Colombeau generalized stochastic process G defined on ℝ n . We first introduce the Caputo fractional derivative of a one-dimensional Colombeau generalized stochastic process and then generalize the procedure to the Caputo partial fractional derivatives of a multidimensional Colombeau generalized stochastic process. To do so, the Colombeau generalized stochastic process G has to have a compact support. We prove that an arbitrary Caputo partial fractional derivative of a compactly supported Colombeau generalized stochastic process is a Colombeau generalized stochastic process itself, but not necessarily with a compact support. © 2013 Versita Warsaw and Springer-Verlag Wien. | URI: | https://open.uns.ac.rs/handle/123456789/28998 | ISSN: | 1311-0454 | DOI: | 10.2478/s13540-013-0058-z |
Appears in Collections: | PMF Publikacije/Publications |
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