On a Generalized Fractional Integral and Related Methodological Remarks

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

Authors
Vivas-Cortez M. , Valdés J.E.N. , Jain S. , Agarwal P.
Publisher
Natural Sciences Publishing
Number of issue
4
Language
English
Pages
615-623
Status
Published
Volume
17
Year
2023
Organizations
  • 1 Pontificia Universidad Católica del Ecuador (PUCE), Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Físicas y Matemática, Sede Quito, Ecuador
  • 2 UNN E, FaCENA, Ave. Libertad 5450, Corrientes 3400, Argentina and UTN-FRRE, French 414, Chaco, Resistencia, 3500, Argentina
  • 3 Department of Mathematics, Poornima College of Engineering, Jaipur, 302022, India
  • 4 Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India
  • 5 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 6 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
Keywords
Generalized fractional integral; Integral operator; properties

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