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

doi:10.3934/math.2022167

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

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	3027-3046
Number of pages	20
Journal	AIMS Mathematics
Volume	7
Issue number	2
DOIs	https://doi.org/10.3934/math.2022167
State	Published - 2022

Keywords

Extended Bessel-Maitland function
Integral transform
Riemann-Liouville fractional integral operator

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10.3934/math.2022167

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title = "On generalized fractional integral operator associated with generalized bessel-maitland function",

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.",

keywords = "Extended Bessel-Maitland function, Integral transform, Riemann-Liouville fractional integral operator",

author = "Ali, \{Rana Safdar\} and Saba Batool and Shahid Mubeen and Asad Ali and Gauhar Rahman and Muhammad Samraiz and Nisar, \{Kottakkaran Sooppy\} and Mohamed, \{Roshan Noor\}",

note = "Publisher Copyright: {\textcopyright} 2022 the Author(s), licensee AIMS Press.",

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doi = "10.3934/math.2022167",

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T1 - On generalized fractional integral operator associated with generalized bessel-maitland function

AU - Ali, Rana Safdar

AU - Batool, Saba

AU - Mubeen, Shahid

AU - Ali, Asad

AU - Rahman, Gauhar

AU - Samraiz, Muhammad

AU - Nisar, Kottakkaran Sooppy

AU - Mohamed, Roshan Noor

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

KW - Extended Bessel-Maitland function

KW - Integral transform

KW - Riemann-Liouville fractional integral operator

UR - https://www.scopus.com/pages/publications/85119613875

U2 - 10.3934/math.2022167

DO - 10.3934/math.2022167

M3 - Article

AN - SCOPUS:85119613875

SN - 2473-6988

VL - 7

SP - 3027

EP - 3046

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 2

ER -

On generalized fractional integral operator associated with generalized bessel-maitland function

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