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2024, Volume 7, Issue 3: 350-369. Doi: 10.3934/mfc.2023011

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Volterra-Fredholm-type integral inequalities for generalized conformable fractional integrals

Xiaoyue Han^1, and
Run Xu^{1, 2, ,}

School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China

^*Corresponding author: Run Xu
^*Corresponding author: Run Xu

Received: December 2022

Revised: January 2023

Early access: March 2023

Published: August 2024

The first author is supported by [National Science Foundation of China (11971015)]

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Abstract

In this paper, fractional order integral operators are applied to the study of inequalities, which is also a research hotspot of fractional order integral operators in recent years. After introducing some basic concepts, we establish some new Volterra-Fredholm-type fractional integral inequalities. They can be used as an effective tool to study the properties of solutions of fractional differential equations and fractional integral equations. In addition, several examples are given to illustrate the effectiveness of the research results.

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Mathematics Subject Classification: Primary: 26A33, 26D10; Secondary: 35A23.

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References

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