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

Abstract

Here we present several complex left Caputo type fractional inequalities of well known kinds, such as of Ostrowski, Poincare, Sobolev, Opial and Hilbert–Pachpatte. See also [3].

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References

  1. G. Anastassiou, A strong fractional calculus theory for Banach space valued functions. Nonlinear Funct. Anal. Appl. 22(3), 495–524 (2017)

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  2. G. Anastassiou, Complex Opial type inequalities, submitted (2019)

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  3. G.A. Anastassiou, Complex left Caputo fractional inequalities, submitted for publication (2019)

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  4. S.S. Dragomir, An extension of Ostrowski inequality to the complex integral. RGMIA Res. Rep. Coll. 21, Art. 112, 17 (2018). https://rgmia.org/v21.php

  5. C. Volintiru, A proof of the fundamental theorem of Calculus using Hausdorff measures. R. Anal. Exch. 26(1), 381–390 (2000/2001)

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Correspondence to George A. Anastassiou .

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Anastassiou, G.A. (2020). Left Caputo Fractional Complex 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_21

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