Work

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

Year: 2021

Type: article

Abstract: 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.

Source: AIMS Mathematics

DOI: 10.3934/math.2022167

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

Institutions: University of Lahore, Prince Sattam Bin Abdulaziz University, University of Sargodha, Taif University, Hazara University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W3217500801

FWCI: 0.21

Cites: 33

Cited by: 2

Related to: 10