SOME FRACTIONAL INTEGRAL INEQUALITIES INVOLVING APPELL HYPERGEOMETRIC FUNCTION

被引:0
|
作者
Joshi, Sunil [1 ]
Mittal, Ekta [1 ]
Pandey, Rupakshi Mishra [1 ]
机构
[1] Manipal Univ Jaipur, Dept Math & Stat, Jaipur 303007, Rajasthan, India
来源
关键词
Fractional integral inequalities; Riemann-Liouville fractional integral; Erdelyi-Kober fractional integral etc;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The aim of the present investigation is to establish certain new fractional integral inequalities involving the Appell hypergeometric function considering the extended Chebyshev functional in the case of synchronous functions. In the conclusions numerous special cases as fractional integral inequalities involving Saigo, Erdelyi-Kober, and Riemann-Liouville type fractional integral operators are presented. Further, we also reflect their significance with other related known results due to Purohit, Raina and Belarbi and Dahmani.
引用
收藏
页码:23 / 30
页数:8
相关论文
共 50 条
  • [21] Some New Fractional Inequalities Involving Convex Functions and Generalized Fractional Integral Operator
    Neamah, Majid K.
    Ibrahim, Alawiah
    Mehdy, Hala Shaker
    Redhwan, Saleh S.
    Abdo, Mohammed S.
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [22] ON FRACTIONAL INTEGRAL INEQUALITIES INVOLVING THE SAIGO'S FRACTIONAL INTEGRAL OPERATORS
    Menaria, Naresh
    Purohit, S. D.
    Kumar, Dinesh
    JOURNAL OF SCIENCE AND ARTS, 2016, (04): : 289 - 294
  • [24] On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function
    Chandola, Ankita
    Pandey, Rupakshi Mishra
    INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY, 2023, 15 (01):
  • [25] Some generalized fractional integral inequalities with nonsingular function as a kernel
    Mubeen, Shahid
    Ali, Rana Safdar
    Nayab, Iqra
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Baleanu, Dumitru
    AIMS MATHEMATICS, 2021, 6 (04): : 3352 - 3377
  • [26] Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
    Nisar, Kottakkaran Sooppy
    Qi, Feng
    Rahman, Gauhar
    Mubeen, Shahid
    Arshad, Muhammad
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [27] Maclaurin-Type Integral Inequalities for GA-Convex Functions Involving Confluent Hypergeometric Function via Hadamard Fractional Integrals
    Chiheb, Tarek
    Meftah, Badreddine
    Moumen, Abdelkader
    Bouye, Mohamed
    FRACTAL AND FRACTIONAL, 2023, 7 (12)
  • [28] Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
    Kottakkaran Sooppy Nisar
    Feng Qi
    Gauhar Rahman
    Shahid Mubeen
    Muhammad Arshad
    Journal of Inequalities and Applications, 2018
  • [29] 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):
  • [30] Certain recent fractional integral inequalities associated with the hypergeometric operators
    Jain, Shilpi
    Agarwal, Praveen
    Ahmad, Bashir
    Al-Omari, S. K. Q.
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2016, 28 (01) : 82 - 86