On generalized fractional integral operator associated with generalized Bessel-Maitland function

被引：1

作者：

Ali, Rana Safdar ^{[1
]}

Batool, Saba ^{[1
]}

Mubeen, Shahid ^{[2
]}

Ali, Asad ^{[3
]}

Rahman, Gauhar ^{[3
]}

Samraiz, Muhammad ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[4
]}

Mohamed, Roshan Noor ^{[5
]}

机构：

[1] Univ Lahore, Dept Math, Lahore, Pakistan

[2] Univ Sargodha, Dept Math, Sargodha, Pakistan

[3] Hazara Univ, Dept Math & Stat, Mansehra, Pakistan

[4] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[5] Taif Univ, Fac Dent, Dept Pediat Dent, POB 11099, At Taif 21944, Saudi Arabia

来源：

AIMS MATHEMATICS | 2021年 / 7卷 / 02期

关键词：

extended Bessel-Maitland function; integral transform; Riemann-Liouville fractional integral operator; MITTAG-LEFFLER FUNCTION;

D O I：

10.3934/math.2022167

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we describe generalized fractional integral operator and its inverse with generalized Bessel-Maitland function (BMF-V) as its kernel. We discuss its convergence, boundedness, its relation with other well known fractional operators (Saigo fractional integral operator , Riemann-Liouville fractional operator), and establish its integral transform. Moreover, we have given the relationship of BMF-V with Mittag-Leffler functions.

引用

页码：3027 / 3046

页数：20

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