VOLTERRA-FREDHOLM-TYPE INTEGRAL INEQUALITIES FOR GENERALIZED CONFORMABLE FRACTIONAL INTEGRALS

被引：0
|
作者：
Han, Xiaoyue [1 ]
Xu, Run [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTING | 2024年 / 7卷 / 03期
基金：
美国国家科学基金会;
关键词：
Volterra-Fredholm inequalities; fractional integral inequalities; nonlin-ear integral inequalities; retarded integral inequalities; generalized conformable fractional integrals;
D O I：
10.3934/mfc.2023011
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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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页码：350 / 369
页数：20
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