Some fractional integral formulas for the Mittag-Leffler type function with four parameters

被引:29
作者
Agarwal, Praveen [1 ]
Nieto, Juan J. [2 ,3 ]
机构
[1] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India
[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
[3] King Abdulaziz Univ, Fac Sci, Jeddah 21589, Saudi Arabia
关键词
Marichev-Saigo-Maeda type fractional integral operators; Mittag-Leffler type function with four parameters; Generalized Wright function; OPERATORS;
D O I
10.1515/math-2015-0051
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we present some results from the theory of fractional integration operators (of Marichev-Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters E-zeta,gamma(mu,nu)[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.
引用
收藏
页码:537 / 546
页数:10
相关论文
共 60 条
[1]   Certain Integrals Involving Generalized Mittag-Leffler Functions [J].
Agarwal, P. ;
Chand, M. ;
Jain, S. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2015, 85 (03) :359-371
[2]  
Al-Bassam M.-A., 1995, J FRACT CALCUL, V7, P69
[3]  
[Anonymous], FRACT CALC APPL ANAL
[4]  
[Anonymous], P INDIAN AC IN PRESS
[5]  
[Anonymous], 2014, J FRACT CALC AAPPL
[6]  
[Anonymous], 2002, J. Integral Equ. Appl., DOI [10.1216/jiea/1181074929, DOI 10.1216/JIEA/1181074929]
[7]  
[Anonymous], 2012, Zeta and q-zeta functions and associated series and integrals
[8]  
[Anonymous], 1993, An Introduction to The Fractional Calculus and Fractional Differential Equations
[9]  
[Anonymous], H FUNCTION THEORY AP
[10]  
[Anonymous], 1997, Fractals and Fractional Calculus in Continuum Mechanics