Estimation of generalized fractional integral operators with nonsingular function as a kernel

被引：1

作者：

Nayab, Iqra ^{[1
]}

Mubeen, Shahid ^{[2
]}

Ali, Rana Safdar ^{[2
]}

Rahman, Gauhar ^{[3
]}

Abdel-Aty, Abdel-Haleem ^{[4
,5
]}

Mahmoud, Emad E. ^{[6
]}

Nisar, Kottakkaran Sooppy ^{[7
]}

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] Univ Bisha, Dept Phys, Coll Sci, POB 344, Bisha 61922, Saudi Arabia

[5] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt

[6] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, At Taif 21944, Saudi Arabia

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

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 05期

关键词：

beta function; fractional operators; generalized multi-index Bessel function; Wright's function; EQUATIONS;

D O I：

10.3934/math.2021266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bessel function has a significant role in fractional calculus having immense applications in physical and theoretical approach. Present work aims to introduce fractional integral operators in which generalized multi-index Bessel function as a kernel, and develop some important special cases which are connected with fractional operators in fractional calculus. Here, we construct important links to familiar findings from some individual occurrence with our key outcomes.

引用

页码：4492 / 4506

页数：15

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