Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

被引：11
|
作者：
Suthar, D. L. [1 ]
Khan, A. M. [2 ]
Alaria, A. [3 ]
Purohit, S. D. [4 ]
Singh, J. [5 ]
机构：
[1] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia
[2] JIET Grp Inst, Dept Math, Jodhpur, Rajasthan, India
[3] Poornima Univ, Dept Math, Jaipur 303905, Rajasthan, India
[4] Rajasthan Tech Univ, Dept HEAS Math, Kota 324010, India
[5] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 02期
关键词：
extended Bessel-Maitland function; extended beta function; integral transform; Riemann-Liouville fractional calculus operators; FUNDAMENTAL-SOLUTIONS;
D O I：
10.3934/math.2020096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mellin transform. Further, certain properties of the Riemann-Liouville fractional calculus associated with extended generalized Bessel-Maitland function are also investigated.
引用
收藏
页码：1400 / 1410
页数：11
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