A Multi-Index Generalized Derivative; Some Introductory Notes

M. Vivas-Cortez; L. M. Lugo; Juan E.Nápoles Valdés; M. E. Samei

doi:10.18576/amis/160604

A Multi-Index Generalized Derivative; Some Introductory Notes

M. Vivas-Cortez^*
, L. M. Lugo
, Juan E.Nápoles Valdés
, M. E. Samei

^*Corresponding author for this work

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

7 Scopus citations

Abstract

In this work we present a generalized multi-index derivative, which contains as particular cases, with an index, several local derivatives known from the literature (both conformable and non-conformable). Obviously this new development contains many of the desirable properties of integer derivatives.

Original language	English
Pages (from-to)	883-890
Number of pages	8
Journal	Applied Mathematics and Information Sciences
Volume	16
Issue number	6
DOIs	https://doi.org/10.18576/amis/160604
State	Published - 1 Nov 2022

Bibliographical note

Publisher Copyright:
© 2022 NSP Natural Sciences Publishing Cor.

Funding

The first author acknowledges the financial support by the Research Department from Pontificial Catholic University of Ecuador. The authors are grateful to the anonymous referee for a careful checking of the details and for helpful comments that improved this paper.

Funders
Pontifical Catholic University of Ecuador

Keywords

Fractional calculus
Fractional derivatives and integral
Generalized derivative

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10.18576/amis/160604

Cite this

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AU - Samei, M. E.

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KW - Fractional derivatives and integral

KW - Generalized derivative

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A Multi-Index Generalized Derivative; Some Introductory Notes

Abstract

Bibliographical note

Funding

Keywords

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