Back to Search Start Over

Some Hardy's inequalities on conformable fractional calculus

Authors :
AlNemer Ghada
Saker Samir H.
Ashry Gehad M.
Zakarya Mohammed
Rezk Haytham M.
Kenawy Mohammed R.
Source :
Demonstratio Mathematica, Vol 57, Iss 1, Pp 314-317 (2024)
Publication Year :
2024
Publisher :
De Gruyter, 2024.

Abstract

In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus. When α=1\alpha =1, we can obtain some of classical Copson’s and Hardy’s inequalities. In the end, we will obtain an application of Hardy’s inequality utilizing the conformable fractional calculus.

Details

Language :
English
ISSN :
23914661
Volume :
57
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Demonstratio Mathematica
Publication Type :
Academic Journal
Accession number :
edsdoj.8c47f342d8274fd59e46f63eecb0e00b
Document Type :
article
Full Text :
https://doi.org/10.1515/dema-2024-0027