On some dynamic inequalities of Hilbert's-type on time scales-Reference-Cited by-同舟云学术

On some dynamic inequalities of Hilbert's-type on time scales

Published:2023 Issue:2 Volume:8 Page:3378-3402
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

El-Deeb Ahmed A.¹,Baleanu Dumitru²³,Shah Nehad Ali⁴,Abdeldaim Ahmed⁵

Affiliation:

1. Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt

2. Institute of Space Science, Magurele-Bucharest, Romania

3. Department of Mathematics, Cankaya University, Ankara 06530, Turkey

4. Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea

5. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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