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

页码：5602 / 5614

页数：13

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