Some New Inequalities Involving κ-Fractional Integral for Certain Classes of Functions and Their Applications

被引:6
|
作者
Zhou, Shuang-Shuang [1 ]
Rashid, Saima [2 ]
Dragomir, Silvestru Sever [3 ]
Latif, Muhammad Amer [4 ]
Akdemir, Ahmet Ocak [5 ]
Liu, Jia-Bao [6 ]
机构
[1] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China
[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
[3] Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia
[4] Univ Hail, Dept Basic Sci, Hail 2440, Saudi Arabia
[5] Ibrahim Cecen Univ Agri, Fac Sci & Letters, Dept Math, TR-04100 Agri, Turkey
[6] Anhui Inst Architecture & Ind, Sch Math & Phys, Hefei 230601, Peoples R China
关键词
NICHOLSONS BLOWFLIES MODEL; CONJUGATE-GRADIENT METHOD; DIFFERENTIAL-EQUATIONS; NEURAL-NETWORKS; LIMIT-CYCLES; CONVERGENCE; EXISTENCE; OPTIMIZATION; STABILITY; SYSTEMS;
D O I
10.1155/2020/5285147
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we present several new inequalities involving the kappa-fractional integral for the integrable function F which satisfies one of the following conditions is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.
引用
收藏
页数:14
相关论文
共 50 条
  • [11] Some Inequalities for a New Class of Convex Functions with Applications via Local Fractional Integral
    Ge-JiLe, Hu
    Rashid, Saima
    Farooq, Fozia Bashir
    Sultana, Sobia
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [12] ON SOME NEW INTEGRAL-INEQUALITIES INVOLVING FUNCTIONS AND THEIR DERIVATIVES
    PACHPATTE, BG
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1980, 11 (08): : 1039 - 1044
  • [13] New Fractional Integral Inequalities for Differentiable Convex Functions and Their Applications
    K.-L. Tseng
    K.-C. Hsu
    Ukrainian Mathematical Journal, 2017, 69 : 478 - 499
  • [14] New Fractional Integral Inequalities for Differentiable Convex Functions and Their Applications
    Tseng, K. -L.
    Hsu, K. -C.
    UKRAINIAN MATHEMATICAL JOURNAL, 2017, 69 (03) : 478 - 499
  • [15] 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)
  • [16] Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives
    Imran, Muhammad
    Mubeen, Shahid
    Khan, Aziz
    Abdeljawad, Thabet
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2025, 2025 (01):
  • [17] Some integral inequalities involving Saigo fractional integral operators
    Houas, Mohamed
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2018, 21 (03) : 681 - 694
  • [18] Modification of certain fractional integral inequalities for convex functions
    Pshtiwan Othman Mohammed
    Thabet Abdeljawad
    Advances in Difference Equations, 2020
  • [19] New classes of unified fractional integral inequalities
    Rahman, Gauhar
    Samraiz, Muhammad
    Naheed, Saima
    Kashuri, Artion
    Nonlaopon, Kamsing
    AIMS MATHEMATICS, 2022, 7 (08): : 15563 - 15583
  • [20] Modification of certain fractional integral inequalities for convex functions
    Mohammed, Pshtiwan Othman
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)