Several novel inequalities associated with the Riesz‐type fractional integral operator-Reference-Cited by-同舟云学术

Several novel inequalities associated with the Riesz‐type fractional integral operator

Published:2023-10-28 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Geng Lu‐Lu¹²^ORCID,Yang Xiao‐Jun¹²³⁴^ORCID

Affiliation:

1. School of Mathematics China University of Mining and Technology Xuzhou Jiangsu China

2. State Key Laboratory for Geomechanics and Deep Underground Engineering China University of Mining and Technology Xuzhou Jiangsu China

3. Department of Mathematics, Faculty of Science King Abdulaziz University Jeddah Saudi Arabia

4. Department of Mathematics, College of Science Kyung Hee University Seoul Republic of Korea

Abstract

This paper is devoted to study six novel inequalities associated with the Riesz‐type fractional integral operator for synchronous function and bounded function.

Funder

Fundamental Research Funds for the Central Universities

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9753

Reference18 articles.

1. Lattice model of fractional gradient and integral elasticity: long‐range interaction of Grünwald‐Letnikov‐Riesz type;Tarasov V. E.;Mech. Mater.,2014

2. Regularity of the solution to Riesz‐type fractional differential equation;Cai M.;Integr. Transf. Spec. F.,2019

3. A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem

4. On an identity for the Chebyshev functional and some ramifications;Cerone P.;J. Inequal. Pure Appl. Math.,2002