Minkowski type inequalities for a generalized fractional integral

In this paper we introduce a new generalized fractional integral unifying most of previous existing fractional integrals. Then, we prove some essential properties of this new operator under some classical assumptions. As application, we use this novel fractional integral to establish a several inequalities of Minkowski type. Our results recover a large number of a well known inequalities in the literature.

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Publication Details

Journal
Cubo
Published
2025-04-01
DOI
https://doi.org/10.56754/0719-0646.2701.007
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Minkowski type inequalities for a generalized fractional integral

Wael Abdelhedi
Cubo
Mathematical Inequalities and Applications
article

Minkowski type inequalities for a generalized fractional integral

Wael Abdelhedi
article en

Abstract

In this paper we introduce a new generalized fractional integral unifying most of previous existing fractional integrals. Then, we prove some essential properties of this new operator under some classical assumptions. As application, we use this novel fractional integral to establish a several inequalities of Minkowski type. Our results recover a large number of a well known inequalities in the literature.

CuboVol. 27(1)
University of Sfax (TN)
Openalex Percentile: Top 83%
Mathematical Inequalities and Applications
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Minkowski type inequalities for a generalized fractional integral — Wael Abdelhedi · Cubo (2025) | TGRS Research Map | TGRS