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

页码：1171 / 1184

页数：14

共 12 条

[1] A FURTHER EXTENSION OF MITTAG-LEFFLER FUNCTION [J].

Andric, Maja ;

Farid, Ghulam ;

Pecaric, Josip .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (05) :1377-1395

[2] A NEW EXTENSION OF THE MITTAG-LEFFLER FUNCTION [J].

Arshad, Muhammad ;

Choi, Junesang ;

Mubeen, Shahid ;

Nisar, Kottakkaran Sooppy ;

Rahman, Gauhar .

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (02) :549-560

[3] NEW CLASSES OF INTEGRAL INEQUALITIES OF FRACTIONAL ORDER [J].

Dahmani, Zoubir .

MATEMATICHE, 2014, 69 (01) :237-247

[4]

Kilbas AA., 2006, THEORY APPL FRACTION

[5] SEVERAL INTERESTING INTEGRAL INEQUALITIES [J].

Liu, Wenjun ;

Ngo, Quoc-Anh ;

Vu Nhat Huy .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (02) :201-212

[6] Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function [J].

Nisar, Kottakkaran Sooppy ;

Suthar, D. L. ;

Agarwal, R. ;

Purohit, S. D. .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[7]

NISAR KS, 2019, MATHEMATICS-BASEL, V7, DOI DOI 10.3390/math7121230

[8]

Prabhakar TR., 1971, A Singular Integral Equation with a Generalized Mittag-Leffler Function in the Kernel

[9] The extended Mittag-Leffler function via fractional calculus [J].

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

[10]

Salim T.O., 2012, J FRACTIONAL CALCULU, V3, P1

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