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Negative Domain Local Fractional Inequalities

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Intelligent Analysis: Fractional Inequalities and Approximations Expanded

Part of the book series: Studies in Computational Intelligence ((SCI,volume 886))

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Abstract

This research is about inequalities in a local fractional environment over a negative domain. The author presents the following types of analytic local fractional inequalities: Opial, Hilbert–Pachpatte, comparison of means, Poincare and Sobolev. The results are with respect to uniform and \(L_{p}\) norms, involving left and right Riemann–Liouville fractional derivatives. See also [10].

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References

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). Negative Domain Local Fractional Inequalities. 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_15

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