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Low Order Riemann–Liouville Fractional Inequalities with Absent Initial Conditions

  • George A. AnastassiouEmail author
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 886)

Abstract

Here we present low order Riemann–Liouville left and right fractional inequalities without any initial conditions. These are of Opial, Poincaré, Sobolev and Hilbert–Pachpatte types. See also [3].

References

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    G.A. Anastassiou, Intelligent Mathematics: Computational Analysis (Springer, Heidelberg, 2011)CrossRefGoogle Scholar
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    G.A. Anastassiou, Riemann-Liouville fractional fundamental theorem of Calculus and Riemann-Liouville fractional Polya type integral inequality and its extension to Choquet integral setting, Bulletin of Korean Mathematical Society (2019)Google Scholar
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    G.A. Anastassiou, Low order Riemann-Liouville fractional inequalities without initial conditions (2019)Google Scholar
  4. 4.
    I. Podlubny, Fractional Differentiation Equations (Academic Press, San Diego, 1999)zbMATHGoogle Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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