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
  • [21] Some New Volterra-Fredholm-Type Discrete Inequalities and Their Applications in the Theory of Difference Equations
    Zheng, Bin
    Feng, Qinghua
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [22] Generalized k-fractional conformable integrals and related inequalities
    Qi, Feng
    Habib, Siddra
    Mubeen, Shahid
    Naeem, Muhammad Nawaz
    AIMS MATHEMATICS, 2019, 4 (03): : 343 - 358
  • [23] Opial-type inequalities for conformable fractional integrals
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    JOURNAL OF APPLIED ANALYSIS, 2019, 25 (02) : 155 - 163
  • [24] Some Opial Type Inequalities for Conformable Fractional Integrals
    Sarikaya, Mehmet Zeki
    Can Bilisik, Candan
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [25] Hermite–Hadamard type inequalities for conformable fractional integrals
    M. Adil Khan
    T. Ali
    S. S. Dragomir
    M. Z. Sarikaya
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1033 - 1048
  • [26] Some new inequalities for generalized fractional conformable integral operators
    Kottakkaran Sooppy Nisar
    Gauhar Rahman
    Aftab Khan
    Advances in Difference Equations, 2019
  • [27] Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
    Budak, Huseyin
    Usta, Fuat
    Sarikaya, Mehmet Zeki
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2021, 16 (01): : 195 - 212
  • [28] Some new inequalities for generalized fractional conformable integral operators
    Nisar, Kottakkaran Sooppy
    Rahman, Gauhar
    Khan, Aftab
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [29] ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL
    Usta, F.
    Sarikaya, M. Z.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (01): : 106 - 113
  • [30] Hermite-Hadamard-Fejer inequalities for generalized conformable fractional integrals
    Mehmood, Sikander
    Zafar, Fiza
    Yasmin, Nusrat
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (05) : 3746 - 3758
12345