On a Generalized Fractional Integral and Related Methodological Remarks

  • Miguel Vivas-Cortez
  • , Juan E.Nápoles Valdés*
  • , Shilpi Jain
  • , Praveen Agarwal
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)615-623
Number of pages9
JournalApplied Mathematics and Information Sciences
Volume17
Issue number4
DOIs
StatePublished - 1 Jul 2023

Bibliographical note

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

Funding

This paper and its translation were prepared within the framework of the agreement between the Ministry of Science and High Education of Russia No. 075-15-2021-603: Development of the new methodology and intellectual base for the new-generation research of India Philosophy in correlation of the main World Philosophy Traditions. This paper has been supported also by the RUDN University Strategic Academic Leadership Program. The authors are also thankful to NBHM (DAE)Grant number: 02011/12/2020 NHBM (R.P)/RDII/7867 and Ministry of Science and High Education of the Russian Federation and the Peoples Friendship University of Russia, Grant No. 104701-2-000 Cognitive strategies of the main philosophical tradition of Eurasia of the RUDN Strategic Academic Leadership Program Priority-2030

Funder number
02011/12/2020 NHBM (R.P)/RDII/7867
075-15-2021-603

    Keywords

    • Generalized fractional integral
    • Integral operator
    • properties

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