Generalized two-parameter Lebesgue-Stieltjes integrals and their applications to fractional Brownian fields

We consider two-parameter fractional integrals and Weyl, Liouville, and Marchaut derivatives and substantiate some of their properties. We introduce the notion of generalized two-parameter Lebesgue-Stieltjes integral and present its properties and computational formulas for the case of differentiabl...

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Bibliographic Details
Date:2004
Main Authors: Il'chenko, S. A., Mishura, Yu. S., Ільченко, С. А., Мішура, Ю. С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3766
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal