Certain fractional calculus and integral transform results of incomplete ℵ-functions with applications

被引：17
|
作者：
Kumar Bansal, Manish [1 ]
Kumar, Devendra [2 ]
Nisar, K. S. [3 ]
Singh, Jagdev [4 ]
机构：
[1] Govt Engn Coll, Dept Appl Sci, Banswara 327001, Rajasthan, India
[2] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
[3] Prince Sattam bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Al Dawaser 11991, Saudi Arabia
[4] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 08期
关键词：
Fox's H-function; fractional integral operators; incomplete aleph-functions; integral transform; Mellin-Barnes type contour integral; DIFFERENTIAL-EQUATIONS; H-FUNCTIONS; OPERATORS; MODEL;
D O I：
10.1002/mma.6299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study certain interesting and useful properties of incomplete aleph-functions. The incomplete aleph-function is an extension of the aleph-function. We find several useful classical integral transforms of these functions. Further, we examine the fractional calculus with the incomplete aleph-functions and point out several special cases. Finally, we give the applications of incomplete aleph-functions in detecting glucose supply in human blood.
引用
收藏
页码：5602 / 5614
页数：13
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