EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION APPLIED ON FRACTIONAL INTEGRAL INEQUALITIES

被引：1
|
作者：
Andric, Maja [1 ]
Farid, Ghulam [2 ]
Pecaric, Josip [3 ]
Siddique, Muhammad Usama [2 ]
机构：
[1] Univ Split, Fac Civil Engn Architecture & Geodesy, Split 21000, Croatia
[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad, Pakistan
[3] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 35卷 / 04期
关键词：
Mittag-Leffler function; fractional integral operator; monotone function; EXTENSION;
D O I：
10.4134/CKMS.c200073
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents several fractional generalizations and extensions of known integral inequalities. To obtain these, an extended generalized Mittag-Leffler function and its fractional integral operator are used.
引用
收藏
页码：1171 / 1184
页数：14
相关论文
共 50 条
  • [21] Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function
    Mihai, Marcela V.
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [22] Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function
    Marcela V Mihai
    Muhammad Uzair Awan
    Muhammad Aslam Noor
    Khalida Inayat Noor
    Journal of Inequalities and Applications, 2017
  • [23] The extended Mittag-Leffler function via fractional calculus
    Rahman, Gauhar
    Baleanu, Dumitru
    Al Qurashi, Maysaa
    Purohit, Sunil Dutt
    Mubeen, Shahid
    Arshad, Muhammad
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4244 - 4253
  • [24] CERTAIN FRACTIONAL OPERATORS OF EXTENDED MITTAG-LEFFLER FUNCTION
    Nadir, Aneela
    Khan, Adnan
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (01): : 12 - 26
  • [25] TURAN TYPE INEQUALITIES FOR GENERALIZED MITTAG-LEFFLER FUNCTION
    Yin, Li
    Huang, Li-Guo
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (03): : 667 - 672
  • [26] Turan type inequalities for generalized Mittag-Leffler function
    Dou, Xiang Kai
    Yin, Li
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [27] Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
    Srivastava, H. M.
    Tomovski, Zivorad
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) : 198 - 210
  • [28] Integral Equations Involving Generalized Mittag-Leffler Function
    R. Desai
    I. A. Salehbhai
    A. K. Shukla
    Ukrainian Mathematical Journal, 2020, 72 : 712 - 721
  • [29] Integral Equations Involving Generalized Mittag-Leffler Function
    Desai, R.
    Salehbhai, I. A.
    Shukla, A. K.
    UKRAINIAN MATHEMATICAL JOURNAL, 2020, 72 (05) : 712 - 721
  • [30] Generalized Mittag-Leffler function and generalized fractional calculus operators
    Kilbas, AA
    Saigo, M
    Saxena, RK
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2004, 15 (01) : 31 - 49
12345