A FURTHER EXTENSION OF MITTAG-LEFFLER FUNCTION

被引：84

作者：

Andric, Maja ^{[1
]}

Farid, Ghulam ^{[2
]}

Pecaric, Josip ^{[3
,4
]}

机构：

[1] Univ Split, Fac Civil Engn Architecture & Geodesy, Matice Hrvatske 15, Split 21000, Croatia

[2] COMSATS Inst Informat Technol, Attock Campus, Attock, Pakistan

[3] Fac Text Technol, Prilaz Baruna Filipovica 28A, Zagreb 10000, Croatia

[4] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 05期

关键词：

Mittag-Leffler function; Opial's inequality; fractional calculus;

D O I：

10.1515/fca-2018-0072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper an extended generalized Mittag-Leffler function E-rho,sigma,tau(delta,r,q,c) (z; p) and the corresponding fractional integral operator epsilon(w,delta,q,r,c)(a+,rho,sigma,tau,) f are defined and used to obtain generalizations of Opial-type inequalities due to Mitrinovic and Pecaric. Also, some interesting properties of this function and its integral operator are discussed. Several known results are deduced.

引用

页码：1377 / 1395

页数：19

共 17 条

[1] A SURVEY OF USEFUL INEQUALITIES IN FRACTIONAL CALCULUS [J].

Alsaedi, Ahmed ;

Ahmad, Bashir ;

Kirane, Mokhtar .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (03) :574-594

[2]

Anastassiou G. A., 2009, Fractional Differentiation Inequalities

[3]

Andri~c M., 2014, NONLINEAR FUNCT ANAL, V19, P563

[4]

Andric M., 2015, MONOGRAPHS INEQUALIT, V10

[5]

Andric M., 2015, FRACT DIFFER CALC, V5, P25, DOI [https://doi.org/10.7153/fdc-05-03, DOI 10.7153/FDC-05-03]

[6] Opial-type inequality due to Agarwal-Pang and fractional differential inequalities [J].

Andric, Maja ;

Barbir, Ana ;

Farid, Ghulam ;

Pecaric, Josip .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (04) :324-335

[7]

[Anonymous], 2006, THEORY APPL FRACTION

[8]

[Anonymous], 2012, J. Fract. Calc. Appl

[9]

[Anonymous], FRACT DIFFER CALC

[10] Extended hypergeometric and confluent hypergeornetric functions [J].

Chaudhry, MA ;

Qadir, A ;

Srivastava, HM ;

Paris, RB .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 159 (02) :589-602

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