@article{El-Deeb2023, 
author = {Ahmed A. El-Deeb and Dumitru Baleanu and Nehad Ali Shah and Ahmed Abdeldaim},
title = {On some dynamic inequalities of Hilbert's-type on time scales},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {3378-3402},
keywords = {time scales, dynamic inequality, Hilbert's inequality},
url = {https://www.sciopen.com/article/10.3934/math.2023174},
doi = {10.3934/math.2023174},
abstract = {In this article, we will prove some new conformable fractional Hilbert-type dynamic inequalities on time scales. These inequalities generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, conformable fractional Hölder inequalities, and conformable fractional Jensen's inequalities on time scales.}
}