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

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	615-623
Número de páginas	9
Publicación	Applied Mathematics and Information Sciences
Volumen	17
N.º	4
DOI	https://doi.org/10.18576/amis/170409
Estado	Publicada - 1 jul. 2023

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© 2023 NSP Natural Sciences Publishing Cor., All Rights Reserved

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Financiadores	Número del financiador
Peoples Friendship University of Russia
RUDN
Department of Atomic Energy, Government of India	02011/12/2020 NHBM (R.P)/RDII/7867
National Board for Higher Mathematics
Ministry of Science and Higher Education of the Russian Federation	075-15-2021-603
RUDN University

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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.",

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AU - Valdés, Juan E.Nápoles

AU - Jain, Shilpi

AU - Agarwal, Praveen

PY - 2023/7/1

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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

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On a Generalized Fractional Integral and Related Methodological Remarks

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