New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function

被引：10

作者：

Geng, Lu-Lu ^{[1
,2
]}

Yang, Xiao-Jun ^{[1
,2
,3
]}

Alsolami, Abdulrahman Ali ^{[3
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

[2] China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou, Jiangsu, Peoples R China

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期

关键词：

fractional differential equations; fractional integral operators; hypergeometric superhyperbolic sine function; integral transforms; pochhammer symbol; CALCULUS; EQUATION; TRANSFORM; OPERATORS;

D O I：

10.1002/mma.8610

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we consider some fractional integral formulas in terms of the Riemann-Liouville, Erdelyi-Kober type, and Weyl fractional integral operators and present the general fractional kinetic model involving the hypergeometric superhyperbolic sine function via the Gauss hypergeometric series.

引用

页码：1809 / 1820

页数：12

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