On a Generalized Fractional Integral and Related Methodological Remarks

Miguel Vivas-Cortez; Juan E.Nápoles Valdés; Shilpi Jain; Praveen Agarwal

doi:10.18576/amis/170409

On a Generalized Fractional Integral and Related Methodological Remarks

Miguel Vivas-Cortez
, Juan E.Nápoles Valdés
, Shilpi Jain
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Pontificia Universidad Católica del Ecuador
FaCENA
Poornima College of Engineering
International College of Engineering
People's Friendship University of Russia

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

2 Scopus citations

Abstract

In this paper, we define a generalized fractional integral of order α which are the natural extension of the newly defined k-fractional conformable integrals and they can be reduced to other fractional integrals. Later, the existence of such k-generalized integrals is proved. Finally, discuses some future possibilities.

Original language	English
Pages (from-to)	615-623
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	17
Issue number	4
DOIs	https://doi.org/10.18576/amis/170409
State	Published - 2023

Keywords

Generalized fractional integral
Integral operator
properties

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10.18576/amis/170409

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title = "On a Generalized Fractional Integral and Related Methodological Remarks",

abstract = "In this paper, we define a generalized fractional integral of order α which are the natural extension of the newly defined k-fractional conformable integrals and they can be reduced to other fractional integrals. Later, the existence of such k-generalized integrals is proved. Finally, discuses some future possibilities.",

keywords = "Generalized fractional integral, Integral operator, properties",

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AU - Vivas-Cortez, Miguel

AU - Valdés, Juan E.Nápoles

AU - Jain, Shilpi

AU - Agarwal, Praveen

PY - 2023

Y1 - 2023

N2 - In this paper, we define a generalized fractional integral of order α which are the natural extension of the newly defined k-fractional conformable integrals and they can be reduced to other fractional integrals. Later, the existence of such k-generalized integrals is proved. Finally, discuses some future possibilities.

AB - In this paper, we define a generalized fractional integral of order α which are the natural extension of the newly defined k-fractional conformable integrals and they can be reduced to other fractional integrals. Later, the existence of such k-generalized integrals is proved. Finally, discuses some future possibilities.

KW - Generalized fractional integral

KW - Integral operator

KW - properties

UR - https://www.scopus.com/pages/publications/85166347496

U2 - 10.18576/amis/170409

DO - 10.18576/amis/170409

M3 - Article

AN - SCOPUS:85166347496

SN - 1935-0090

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SP - 615

EP - 623

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 4

ER -

On a Generalized Fractional Integral and Related Methodological Remarks

Abstract

Keywords

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