On a Generalized Fractional Integral and Related Methodological Remarks

Authors

Miguel Vivas-Cortez, Pontificia Universidad Cato ́lica del Ecuador (PUCE), Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias F ́ısicas y Matema ́tica, Sede Quito, EcuadorFollow
Juan E. Na ́poles Valde ́s, UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina and UTN-FRRE, French 414, Resistencia, Chaco 3500, ArgentinaFollow
Shilpi Jain, Department of Mathematics, Poornima College of Engineering, Jaipur-302022, IndiaFollow
Praveen Agarwal, Department of Mathematics, Anand International College of Engineering, Jaipur-303012, India\\ Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russian Federation\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab EmiratesFollow

Author Country (or Countries)

Ecuador

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170409

Recommended Citation

Vivas-Cortez, Miguel; E. Na ́poles Valde ́s, Juan; Jain, Shilpi; and Agarwal, Praveen (2023) "On a Generalized Fractional Integral and Related Methodological Remarks," Applied Mathematics & Information Sciences: Vol. 17: Iss. 4, Article 9.
DOI: http://dx.doi.org/10.18576/amis/170409
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/9