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Hilfer-Polya, psi-Hilfer Ostrowski and psi-Hilfer-Hilbert-Pachpatte Fractional Inequalities
Version 1
: Received: 26 February 2021 / Approved: 2 March 2021 / Online: 2 March 2021 (09:58:00 CET)
A peer-reviewed article of this Preprint also exists.
Anastassiou, G.A. Hilfer-Polya, ψ-Hilfer Ostrowski and ψ-Hilfer-Hilbert-Pachpatte Fractional Inequalities. Symmetry 2021, 13, 463. Anastassiou, G.A. Hilfer-Polya, ψ-Hilfer Ostrowski and ψ-Hilfer-Hilbert-Pachpatte Fractional Inequalities. Symmetry 2021, 13, 463.
Abstract
Here we present Hilfer-Polya, psi-Hilfer Ostrowski and psi-Hilfer-Hilbert- Pachpatte types fractional inequalities. They are univariate inequalities involving left and right Hilfer and -Hilfer fractional derivatives. All estimates are with respect to norms ||.||p, 1 <_ p <_infinite. At the end we provide applications.
Keywords
fractional integral inequalities, right and left - Hilfer and Hilfer fractional derivatives.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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