New estimates considering the generalized proportional Hadamard fractional integral operators

被引：0
|
作者：
Shuang-Shuang Zhou
Saima Rashid
Fahd Jarad
Humaira Kalsoom
Yu-Ming Chu
机构：
[1] Hunan City University,School of Science
[2] Government University,Department of mathematics
[3] Çankaya University,Department of Mathematics
[4] Zhejiang University,School of Mathematical Sciences
[5] Huzhou University,Department of Mathematics
[6] Changsha University of Science & Technology,Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering
来源：
Advances in Difference Equations | / 2020卷
关键词：
Grüss inequality; Fractional calculus; Generalized proportional Hadamard fractional integral operator; Riemann–Liouville fractional integral operator; 26D15; 26D10; 90C23; 26E60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.
引用
收藏
相关论文
共 50 条
  • [31] SOME INTEGRAL INEQUALITIES IN THE FRAMEWORK OF GENERALIZED K-PROPORTIONAL FRACTIONAL INTEGRAL OPERATORS WITH GENERAL KERNEL
    Napoles Valdes, Juan E.
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (04): : 587 - 596
  • [32] SOME ESTIMATES OF CERTAIN INTEGRAL-OPERATORS IN GENERALIZED FRACTIONAL ORLICZ CLASSES
    BARDARO, C
    VINTI, G
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1991, 12 (5-6) : 443 - 453
  • [33] Estimates for Multilinear Commutators of Generalized Fractional Integral Operators on Weighted Morrey Spaces
    He, Sha
    Zheng, Taotao
    Tao, Xiangxing
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [34] New Hadamard-type integral inequalities via a general form of fractional integral operators
    Butt, Saad Ihsan
    Yousaf, Saba
    Akdemir, Ahmet Ocak
    Dokuyucu, Mustafa Ali
    CHAOS SOLITONS & FRACTALS, 2021, 148
  • [35] GENERALIZED HERMITE-HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL
    Budak, Hueseyin
    Kara, Hasan
    Hezenci, Fatih
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (02) : 383 - 395
  • [36] Some new generalizations for exponentially (s, m)-preinvex functions considering generalized fractional integral operators
    Safdar, Farhat
    Attique, Muhammad
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2021, 53 (12): : 861 - 879
  • [37] Some new Hermite-Hadamard type inequalities for p-convex functions with generalized fractional integral operators
    Vivas-Cortez, Miguel
    Hussain, Sabir
    Latif, Muhammad Amer
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 549 - 562
  • [38] New Investigation on the Generalized K-Fractional Integral Operators
    Rashid, Saima
    Hammouch, Zakia
    Kalsoom, Humaira
    Ashraf, Rehana
    Chu, Yu Ming
    FRONTIERS IN PHYSICS, 2020, 8
  • [39] Some new inequalities for generalized fractional conformable integral operators
    Nisar, Kottakkaran Sooppy
    Rahman, Gauhar
    Khan, Aftab
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [40] Some new inequalities for generalized fractional conformable integral operators
    Kottakkaran Sooppy Nisar
    Gauhar Rahman
    Aftab Khan
    Advances in Difference Equations, 2019
12345