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Low Order Riemann–Liouville Fractional Inequalities with Absent Initial Conditions

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Part of the book series: Studies in Computational Intelligence ((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].

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References

  1. G.A. Anastassiou, Intelligent Mathematics: Computational Analysis (Springer, Heidelberg, 2011)

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  2. 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)

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  3. G.A. Anastassiou, Low order Riemann-Liouville fractional inequalities without initial conditions (2019)

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  4. I. Podlubny, Fractional Differentiation Equations (Academic Press, San Diego, 1999)

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). Low Order Riemann–Liouville Fractional Inequalities with Absent Initial Conditions. In: Intelligent Analysis: Fractional Inequalities and Approximations Expanded. Studies in Computational Intelligence, vol 886. Springer, Cham. https://doi.org/10.1007/978-3-030-38636-8_18

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