Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 19 (2024), 233 -- 244

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This work is licensed under a Creative Commons Attribution 4.0 International License.

SHARP HARDY'S INEQUALITIES VIA CONFORMABLE FRACTIONAL INTEGRALS

Noureddine Azzouz and Bouharket Benaissa

Abstract. The aim of this research is to present Hardy-type inequalities with a sharp constant that are related to the fractional conformable integral operator.

2020 Mathematics Subject Classification: 26D10; 26D15.
Keywords: Hardy's inequality; Minkowski's inequality; fractional conformable operator; monotone function.

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N. Azzouz
Department of Mathematics, Faculty of Science,
University Center Nour Bachir El Bayadh. Algeria.
e-mail: n.azzouz@cu-elbayadh.dz
https://orcid.org/0000-0003-0658-2438



B. Benaissa
Faculty of Material Sciences, University of Tiaret-Algeria.
e-mail: bouharket.benaissa@univ-tiaret.dz
https://orcid.org/0000-0002-1195-6169


http://www.utgjiu.ro/math/sma