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Research Article | Open Access

A comprehensive analysis of Riemann-Liouville fractional multiplicative integral inequalities

Mhamed Eddahbi1( ), Abdelghani Lakhdari2,3, Badreddine Meftah4, Lassaad Mchiri5, Mohamed Rhaima6
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Z.C. 11451, Riyadh, Saudi Arabia
Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Umuttepe Campus, Kocaeli 41001, Türkiye
Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria
Laboratory of Analysis and Control of Differential Equations "ACED", Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria
Panthéon-Assas University Paris Ⅱ, 92 Rue d'Assas, 75006 Paris, France
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Abstract

In this article, we explored a comprehensive class of quadrature formulas characterized by a bi-parametric expression via the concept of multiplicative ( s , P )-convexity. Inspired by prior works in this field, we investigated formulas with varying points (ranging from 1 to 4) and established associated fractional multiplicative inequalities for functions whose multiplicative first-order derivatives exhibit multiplicative ( s , P )-convexity.

Keywords

multiplicative calculusNewton-Cotes-type inequalitiesmultiplicative (s, P)-convex functionsfractional calculus
CLC number: 26A51, 26D10, 26D15

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AIMS Mathematics
Volume 10 Issue 11,
November 2025
Pages 25227-25252
DOI: 10.3934/math.20251117

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Cite this article:
Eddahbi M, Lakhdari A, Meftah B, et al. A comprehensive analysis of Riemann-Liouville fractional multiplicative integral inequalities. AIMS Mathematics, 2025, 10(11): 25227-25252. https://doi.org/10.3934/math.20251117

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Received: 02 July 2025
Revised: 05 October 2025
Accepted: 22 October 2025
Published: 04 November 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)