Sign in
Back
On generalized fractional integral operator associated with generalized Bessel-Maitland function
Journal article   Open access  Peer reviewed

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

Rana Safdar Ali, Saba Batool, Shahid Mubeen, Asad Ali, Gauhar Rahman, Muhammad Samraiz, Kottakkaran Sooppy Nisar, Roshan Noor Mohamed and Department of Mathematics, University of Lahore, Lahore, Pakistan
AIMS mathematics, Vol.7(2), pp.3027-3046
01/01/2022
DOI: https://doi.org/10.3934/math.2022167

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.3934/math.2022167View
Published (Version of record) Open

Metrics

1 Record Views

Details