Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus

In this article, some fractional Hardy-Leindler-type inequalities will be illustrated by utilizing the chain law, Hölder’s inequality, and integration by parts on fractional time scales. As a result of this, some classical integral inequalities will be obtained. Also, we would have a variety of well...

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Main Authors: H. M. Rezk, Wedad Albalawi, H. A. Abd El-Hamid, Ahmed I. Saied, Omar Bazighifan, Mohamed S. Mohamed, M. Zakarya
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/2399182
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author H. M. Rezk
Wedad Albalawi
H. A. Abd El-Hamid
Ahmed I. Saied
Omar Bazighifan
Mohamed S. Mohamed
M. Zakarya
author_facet H. M. Rezk
Wedad Albalawi
H. A. Abd El-Hamid
Ahmed I. Saied
Omar Bazighifan
Mohamed S. Mohamed
M. Zakarya
author_sort H. M. Rezk
collection DOAJ
description In this article, some fractional Hardy-Leindler-type inequalities will be illustrated by utilizing the chain law, Hölder’s inequality, and integration by parts on fractional time scales. As a result of this, some classical integral inequalities will be obtained. Also, we would have a variety of well-known dynamic inequalities as special cases from our outcomes when α=1.
format Article
id doaj-art-0001ea0e7b1943bbb082b699ab9b9d83
institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-0001ea0e7b1943bbb082b699ab9b9d832025-02-03T01:19:58ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2399182Hardy-Leindler-Type Inequalities via Conformable Delta Fractional CalculusH. M. Rezk0Wedad Albalawi1H. A. Abd El-Hamid2Ahmed I. Saied3Omar Bazighifan4Mohamed S. Mohamed5M. Zakarya6Department of MathematicsDepartment of Mathematical ScienceDepartment of Mathematics and Computer ScienceDepartment of MathematicsSection of MathematicsDepartment of MathematicsKing Khalid UniversityIn this article, some fractional Hardy-Leindler-type inequalities will be illustrated by utilizing the chain law, Hölder’s inequality, and integration by parts on fractional time scales. As a result of this, some classical integral inequalities will be obtained. Also, we would have a variety of well-known dynamic inequalities as special cases from our outcomes when α=1.http://dx.doi.org/10.1155/2022/2399182
spellingShingle H. M. Rezk
Wedad Albalawi
H. A. Abd El-Hamid
Ahmed I. Saied
Omar Bazighifan
Mohamed S. Mohamed
M. Zakarya
Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
Journal of Function Spaces
title Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
title_full Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
title_fullStr Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
title_full_unstemmed Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
title_short Hardy-Leindler-Type Inequalities via Conformable Delta Fractional Calculus
title_sort hardy leindler type inequalities via conformable delta fractional calculus
url http://dx.doi.org/10.1155/2022/2399182
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AT wedadalbalawi hardyleindlertypeinequalitiesviaconformabledeltafractionalcalculus
AT haabdelhamid hardyleindlertypeinequalitiesviaconformabledeltafractionalcalculus
AT ahmedisaied hardyleindlertypeinequalitiesviaconformabledeltafractionalcalculus
AT omarbazighifan hardyleindlertypeinequalitiesviaconformabledeltafractionalcalculus
AT mohamedsmohamed hardyleindlertypeinequalitiesviaconformabledeltafractionalcalculus
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