THERMAL SCIENCE

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Samet Erden

,

Neslihan Uyanik

FRACTIONAL INEQUALITIES INVOLVING DOUBLE INTEGRALS OF RIEMANN-LIOUVILLE FOR HIGHER-ORDER PARTIAL DIFFERENTIAL FUNCTIONS

ABSTRACT
The primary aim of this study is to establish new inequalities involving the Riemann-Liouville fractional integrals for different classes of functions in two variables. As a foundational step, we establish two identities concerning the Riemann-Liouville fractional integrals for higher-order partial derivatives of functions. Subsequently, several fractional Ostrowski-type inequalities for bounded functions of two variables are derived. Besides the main results, various special cases derived from the current findings are presented, and the links between these findings and earlier results are explained.
KEYWORDS
bounded functions, fractional integrals, Ostrowski type inequalities
PAPER SUBMITTED: 2024-11-19
PAPER REVISED: 2025-02-01
PAPER ACCEPTED: 2025-05-04
PUBLISHED ONLINE: 2025-09-26
DOI REFERENCE: https://doi.org/10.2298/TSCI2504013E
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 4, PAGES [3013 - 3022]
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Fractional inequalities involving double integrals of Riemann-Liouville for higher-order partial differential functions

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence