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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 1, Pages 3–26
DOI: https://doi.org/10.15393/j3.art.2020.7630
(Mi pa284)
 

This article is cited in 2 scientific papers (total in 2 papers)

Iterated $g$-fractional vector representation formulae and inequalities for Banach space valued functions

George A. Anastassiou

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
Full-text PDF (417 kB) Citations (2)
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Abstract: Here we present very general iterated fractional Bochner integral representation formulae for Banach space valued functions. Based on these we derive generalized and iterated left and right: fractional Poincaré type inequalities, fractional Opial type inequalities and fractional Hilbert–Pachpatte inequalities. All these inequalities are very general having in their background Bochner type integrals.
Keywords: Banach space valued functions, Iterated vector generalized fractional derivative, Caputo fractional derivative, Iterated generalized vector fractional integral inequalities, Bochner integral, fractional vector representation formulae.
Received: 19.11.2019
Revised: 29.12.2019
Accepted: 09.01.2020
Bibliographic databases:
Document Type: Article
UDC: 517.28, 517.98, 517.444
Language: English
Citation: George A. Anastassiou, “Iterated $g$-fractional vector representation formulae and inequalities for Banach space valued functions”, Probl. Anal. Issues Anal., 9(27):1 (2020), 3–26
Citation in format AMSBIB
\Bibitem{Ana20}
\by George~A.~Anastassiou
\paper Iterated $g$-fractional vector representation formulae and inequalities for Banach space valued functions
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 1
\pages 3--26
\mathnet{http://mi.mathnet.ru/pa284}
\crossref{https://doi.org/10.15393/j3.art.2020.7630}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000517833600001}
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  • https://www.mathnet.ru/eng/pa/v27/i1/p3
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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