Certain inequalities via generalized proportional Hadamard fractional integral operators

被引:61
|
作者
Rahman, Gauhar [1 ]
Abdeljawad, Thabet [2 ,3 ]
Jarad, Fahd [4 ]
Khan, Aftab [1 ]
Nisar, Kottakkaran Sooppy [5 ]
机构
[1] Shaheed Benazir Bhutto Univ, Dept Math, Sheringal, Pakistan
[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia
[3] China Med Univ, Dept Med Res, Taichung, Taiwan
[4] Cankaya Univ, Dept Math, Ankara, Turkey
[5] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawser, Saudi Arabia
关键词
Fractional integrals; Generalized proportional Hadamard fractional integrals; Inequalities; GRUSS TYPE; DERIVATIVES;
D O I
10.1186/s13662-019-2381-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the article, we introduce the generalized proportional Hadamard fractional integrals and establish several inequalities for convex functions in the framework of the defined class of fractional integrals. The given results are generalizations of some known results.
引用
收藏
页数:10
相关论文
共 50 条
  • [21] INEQUALITIES OF CHEBYSHEV-POLYA-SZEGO TYPE VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATORS
    Butt, Saad Ihsan
    Akdemir, Ahmet Ocak
    Ekinci, Alper
    Nadeem, Muhammad
    MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 717 - 732
  • [22] On Hermite-Hadamard Type Inequalities Via Fractional Integral Operators
    Tunc, Tuba
    Sarikaya, Mehmet Zeki
    FILOMAT, 2019, 33 (03) : 837 - 854
  • [23] Generalized Hermite-Hadamard type inequalities involving fractional integral operators
    Erhan Set
    Muhammed Aslam Noor
    Muhammed Uzair Awan
    Abdurrahman Gözpinar
    Journal of Inequalities and Applications, 2017
  • [24] Generalized Hermite-Hadamard type inequalities involving fractional integral operators
    Set, Erhan
    Noor, Muhammed Aslam
    Awan, Muhammed Uzair
    Gozpinar, Abdurrahman
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [25] On more general inequalities for weighted generalized proportional Hadamard fractional integral operator with applications
    Zhou, Shuang-Shuang
    Rashid, Saima
    Set, Erhan
    Ahmad, Abdulaziz Garba
    Hamed, Y. S.
    AIMS MATHEMATICS, 2021, 6 (09): : 9154 - 9176
  • [26] The Hermite-Hadamard-Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function
    Aljaaidi, Tariq A.
    Pachpatte, Deepak B.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2022, 2022
  • [27] Certain inequalities involving generalized fractional k-integral operators
    Nisar, K. S.
    Al-Dhaifallah, M.
    Abouzaid, M. S.
    Agarwal, P.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 3376 - 3387
  • [28] Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
    Srivastava, Hari Mohan
    Kashuri, Artion
    Mohammed, Pshtiwan Othman
    Nonlaopon, Kamsing
    FRACTAL AND FRACTIONAL, 2021, 5 (04)
  • [29] Fractional Integral Inequalities via Hadamard's Fractional Integral
    Sudsutad, Weerawat
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [30] Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function
    Rashid, Saima
    Jarad, Fahd
    Noor, Muhammad Aslam
    Kalsoom, Humaira
    Chu, Yu-Ming
    MATHEMATICS, 2019, 7 (12)