On generalized fractional integral operator associated with generalized Bessel-Maitland function-Reference-Cited by-同舟云学术

On generalized fractional integral operator associated with generalized Bessel-Maitland function

Published:2022 Issue:2 Volume:7 Page:3027-3046
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Rana Safdar, ,Batool Saba,Mubeen Shahid,Ali Asad,Rahman Gauhar,Samraiz Muhammad,Nisar Kottakkaran Sooppy,Mohamed Roshan Noor, , , ,

Abstract

<abstract><p>In this paper, we describe generalized fractional integral operator and its inverse with generalized Bessel-Maitland function (BMF-Ⅴ) as its kernel. We discuss its convergence, boundedness, its relation with other well known fractional operators (Saigo fractional integral operator, Riemann-Liouville fractional operator), and establish its integral transform. Moreover, we have given the relationship of BMF-Ⅴ with Mittag-Leffler functions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference46 articles.

1. P. Agarwal, Pathway fractional integral formulas involving Bessel function of the first kind, Adv. Stud. Contemp. Math., 25 (2015), 221–231.

2. P. Agarwal, S. Jain, M. Chand, S. K. Dwivedi, S. Kumar, Bessel functions associated with Saigo-Maeda fractional derivative operators, J. Fract. Calc. Aappl., 5 (2014), 102–112.

3. Y. A. Brychkov, Handbook of special functions: derivatives, integrals, series and other formulas, CRC press, 2008.

4. W. A. Khan, K. S. Nisar, Unified integral operator involving generalized Bessel-Maitland function, 2017, arXiv: 1704.09000.

5. M. S. Abouzaid, A. H. Abusufian, K. S. Nisar, Some unified integrals associated with generalized Bessel-Maitland function, 2016, arXiv: 1605.09200.

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