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Low Order Fractional Riemann–Liouville Inequalities on a Spherical Shell

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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 multivariate fractional inequalities without any initial or boundary conditions. These are of Opial and Poincaré type on a spherical shell. See also [4].

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References

  1. G. Anastassiou, Fractional Differentiation Inequalities (Springer, New York, 2009)

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  2. G. Anastassiou, Intelligent Comparisons: Analytic Inequalities (Springer, New York, 2016)

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  3. G.A. Anastassiou, Low order Riemann-Liouville fractional inequalities on a spherical shell, Analele Universitatii Oradea Fasc. Matematica, Vol. 27 (2020), nr. 1, accepted (2019)

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  4. G. Anastassiou, Low order Riemann-Liouville fractional inequalities without initial conditions, submitted for publication (2019)

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

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  6. W. Rudin, Real and Complex Analysis, International Student Edition (McGraw Hill, London, 1970)

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). Low Order Fractional Riemann–Liouville Inequalities on a Spherical Shell. 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_19

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