Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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.

Journal reference: Symmetry 2021, 13, 463
DOI: 10.3390/sym13030463

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.

Subject Areas

fractional integral inequalities, right and left - Hilfer and Hilfer fractional derivatives.

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