Certain k-fractional calculus operators and image formulas of k-Struve function

被引：7
|
作者：
Suthar, D. L. [1 ]
Baleanu, D. [2 ,3 ]
Purohit, S. D. [4 ]
Ucar, F. [5 ]
机构：
[1] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
[4] Rajasthan Tech Univ, Dept HEAS Math, Kota 324010, India
[5] Marmara Univ, Dept Math, TR-34722 Istanbul, Turkey
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 03期
关键词：
extended Bessel-Maitland function; extended beta function; integral transform; Riemann-Liouville fractional calculus operators; GAMMA-FUNCTION;
D O I：
10.3934/math.2020115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the Saigo's k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.
引用
收藏
页码：1706 / 1719
页数：14
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