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.
引用
收藏
页码：350 / 369
页数：20
相关论文
共 50 条
  • [1] CHEBYSHEV TYPE INTEGRAL INEQUALITIES FOR GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRALS
    Habib, Siddra
    Mubeen, Shahid
    Naeem, Muhammad Nawaz
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (04): : 53 - 65
  • [2] Chebyshev type inequalities via generalized fractional conformable integrals
    Nisar, Kottakkaran Sooppy
    Rahman, Gauhar
    Mehrez, Khaled
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [3] Chebyshev type inequalities via generalized fractional conformable integrals
    Kottakkaran Sooppy Nisar
    Gauhar Rahman
    Khaled Mehrez
    Journal of Inequalities and Applications, 2019
  • [4] On generalized Milne type inequalities for new conformable fractional integrals
    Celika, Baris
    Budakb, Huseyin
    Seta, Erhan
    FILOMAT, 2024, 38 (05) : 1807 - 1823
  • [5] Some new nonlinear Volterra-Fredholm-type discrete inequalities and their applications
    Ma, Qing-Hua
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 216 (02) : 451 - 466
  • [6] On Some Integral Inequalities via Conformable Fractional Integrals
    Akdemir, Ahmet Ocak
    Deniz, Erhan
    Yuksel, Ebru
    APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2021, 6 (01) : 489 - 498
  • [7] New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals
    Rashid, Saima
    Akdemir, Ahmet Ocak
    Nisar, Kottakkaran Sooppy
    Abdeljawad, Thabet
    Rahman, Gauhar
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [8] New generalized reverse Minkowski and related integral inequalities involving generalized fractional conformable integrals
    Saima Rashid
    Ahmet Ocak Akdemir
    Kottakkaran Sooppy Nisar
    Thabet Abdeljawad
    Gauhar Rahman
    Journal of Inequalities and Applications, 2020
  • [9] CONFORMABLE FRACTIONAL INTEGRALS AND RELATED NEW INTEGRAL INEQUALITIES
    Akdemir, Ahmet Ocak
    Ekinci, Alper
    Set, Erhan
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (04) : 661 - 674
  • [10] CHEBYSHEV TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRALS
    Set, Erhan
    Akdemir, Ahmet Ocak
    Mumcu, Ilker
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) : 1227 - 1236
12345