Some Certain Fuzzy Fractional Inequalities for Up and Down PLANCK CONSTANT OVER TWO PI-Pre-Invex via Fuzzy-Number Valued Mappings

被引：10
|
作者：
Khan, Muhammad Bilal [1 ]
Catas, Adriana [2 ]
Aloraini, Najla [3 ]
Soliman, Mohamed S. [4 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan
[2] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania
[3] Qassim Univ, Coll Sci & Arts Onaizah, Dept Math, POB 6640, Buraydah 51452, Saudi Arabia
[4] Taif Univ, Coll Engn, Dept Elect Engn, POB 11099, Taif 21944, Saudi Arabia
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 02期
关键词：
up and down PLANCK CONSTANT OVER TWO PI-pre-invex fuzzy-interval-valued function; fuzzy Riemann-Liouville fractional integral; Hermite-Hadamard-type inequality; Hermite-Hadamard-Fejer-type inequality; HADAMARD TYPE INEQUALITIES; INTEGRAL-INEQUALITIES; CONVEX-FUNCTIONS; BOUNDS; CONCAVITY;
D O I：
10.3390/fractalfract7020171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, we consider fuzzy Riemann-Liouville fractional integrals to establish the Hermite-Hadamard-, Fejer-, and Pachpatte-type inequalities. We estimate fuzzy fractional inequalities for a newly introduced class of PLANCK CONSTANT OVER TWO PI-preinvexity over fuzzy-number valued settings. For the first time, such inequalities involving up and down fuzzy-ordered functions are proven using the fuzzy fractional operator. The stated inequalities are supported by a few numerical examples that will be helpful to validate our main results.
引用
收藏
页数：24
相关论文
共 20 条
  • [1] Up and Down h-Pre-Invex Fuzzy-Number Valued Mappings and Some Certain Fuzzy Integral Inequalities
    Khan, Muhammad Bilal
    Zaini, Hatim Ghazi
    Macias-Diaz, Jorge E.
    Soliman, Mohamed S.
    AXIOMS, 2023, 12 (01)
  • [2] New Class Up and Down ?-Convex Fuzzy-Number Valued Mappings and Related Fuzzy Fractional Inequalities
    Khan, Muhammad Bilal
    Zaini, Hatim Ghazi
    Santos-Garcia, Gustavo
    Noor, Muhammad Aslam
    Soliman, Mohamed S. S.
    FRACTAL AND FRACTIONAL, 2022, 6 (11)
  • [3] New Class Up and Down Pre-Invex Fuzzy Number Valued Mappings and Related Inequalities via Fuzzy Riemann Integrals
    Khan, Muhammad Bilal
    Santos-Garcia, Gustavo
    Treanta, Savin
    Soliman, Mohamed S.
    SYMMETRY-BASEL, 2022, 14 (11):
  • [4] Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities
    Khan, Muhammad Bilal
    Santos-Garcia, Gustavo
    Noor, Muhammad Aslam
    Soliman, Mohamed S.
    CHAOS SOLITONS & FRACTALS, 2022, 164
  • [5] Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities
    Khan, Muhammad Bilal
    Santos-García, Gustavo
    Noor, Muhammad Aslam
    Soliman, Mohamed S.
    Chaos, Solitons and Fractals, 2022, 164
  • [6] Discussion on Fuzzy Integral Inequalities via Aumann Integrable Convex Fuzzy-Number Valued Mappings over Fuzzy Inclusion Relation
    Khan, Muhammad Bilal
    Othman, Hakeem A.
    Rakhmangulov, Aleksandr
    Soliman, Mohamed S.
    Alzubaidi, Alia M.
    MATHEMATICS, 2023, 11 (06)
  • [7] On fuzzy fractional integral operators having exponential kernels and related certain inequalities for exponential trigonometric convex fuzzy-number valued mappings
    Khan, Muhammad Bilal
    Othman, Hakeem A.
    Santos-Garcia, Gustavo
    Saeed, Tareq
    Soliman, Mohamed S.
    CHAOS SOLITONS & FRACTALS, 2023, 169
  • [8] Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings
    Khan, Muhammad Bilal
    Othman, Hakeem A. A.
    Voskoglou, Michael Gr.
    Abdullah, Lazim
    Alzubaidi, Alia M. M.
    MATHEMATICS, 2023, 11 (03)
  • [9] Some New Estimates of Fuzzy Integral Inequalities for Harmonically Convex Fuzzy-Number-Valued Mappings via up and down Fuzzy Relation
    Khan, Muhammad Bilal
    Rahman, Aziz Ur
    Maash, Abdulwadoud A.
    Treanta, Savin
    Soliman, Mohamed S.
    AXIOMS, 2023, 12 (04)
  • [10] Some new concepts in fuzzy calculus for up and down A-convex fuzzy- number valued mappings and related inequalities
    Khan, Muhammad Bilal
    Othman, Hakeem A.
    Santos-Garcia, Gustavo
    Noor, Muhammad Aslam
    Soliman, Mohamed S.
    AIMS MATHEMATICS, 2023, 8 (03): : 6777 - 6803
12