On Pólya-Szegö integral inequalities using k-Hilfer fractional derivative

Asha B. Nale; Vaijanath L. Chinchane; Ould Melha Khellaf; Christophe Chesneau

doi:10.2478/aupcsm-2025-0008

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On Pólya-Szegö integral inequalities using k-Hilfer fractional derivative

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 25 (2025): Issue 1 (December 2025)

By: Asha B. Nale, Vaijanath L. Chinchane, Ould Melha Khellaf and Christophe Chesneau

Open Access

|Mar 2026

Abstract

The main aim of this paper is to use the k-Hilfer fractional derivative to derive certain Pólya-Szegö fractional integral inequalities. Further fractional integral inequalities are obtained. The results presented here extend and generalize various existing inequalities associated with the Riemann-Liouville, Caputo, Saigo, and Hilfer fractional operators. The findings contribute to the growing theory of fractional calculus and offer potential tools for the analysis of fractional differential and integral equations.

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Articles in this issue

DOI: https://doi.org/10.2478/aupcsm-2025-0008 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 77 - 91

Submitted on: Jul 2, 2025

Accepted on: Oct 22, 2025

Published on: Mar 5, 2026

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

k-Hilfer fractional derivative,

Pólya-Szegö inequality

Related subjects:

Mathematics,

General mathematics

© 2026 Asha B. Nale, Vaijanath L. Chinchane, Ould Melha Khellaf, Christophe Chesneau, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Volume 25 (2025): Issue 1 (December 2025)