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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 3, Pages 14–30
DOI: https://doi.org/10.15393/j3.art.2020.8730
(Mi pa304)
 

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

E. R. Love type left fractional integral inequalities

G. A. Anastassiou

Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.
Full-text PDF (543 kB) Citations (2)
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Abstract: Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities. We apply these to ordinary and left fractional integral inequalities. The last involve ordinary derivatives, left Riemann–Liouville fractional integrals, left Caputo fractional derivatives, and left generalized fractional derivatives. These inequalities are of Opial type.
Keywords: Minkowski integral inequality, Opial inequality, Riemann–Liouville fractional integral, fractional derivatives.
Received: 31.05.2020
Revised: 09.06.2020
Accepted: 02.07.2020
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 26A33, 26D10, 26D15
Language: English
Citation: G. A. Anastassiou, “E. R. Love type left fractional integral inequalities”, Probl. Anal. Issues Anal., 9(27):3 (2020), 14–30
Citation in format AMSBIB
\Bibitem{Ana20}
\by G.~A.~Anastassiou
\paper E.~R.~Love type left fractional integral inequalities
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 3
\pages 14--30
\mathnet{http://mi.mathnet.ru/pa304}
\crossref{https://doi.org/10.15393/j3.art.2020.8730}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000590954400002}
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  • https://www.mathnet.ru/eng/pa/v27/i3/p14
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Problemy Analiza — Issues of Analysis
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    Full-text PDF :48
    References:21
     
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