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

^*Autor correspondiente de este trabajo

Producción científica: Revista › Artículo › revisión exhaustiva

7 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	883-890
Número de páginas	8
Publicación	Applied Mathematics and Information Sciences
Volumen	16
N.º	6
DOI	https://doi.org/10.18576/amis/160604
Estado	Publicada - 1 nov. 2022

Nota bibliográfica

Publisher Copyright:
© 2022 NSP Natural Sciences Publishing Cor.

Financiación

Financiadores	Número del financiador
Pontificia Universidad Católica del Ecuador

Acceder al documento

10.18576/amis/160604

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{14de0433181c4cb88ebe52afd25e755e,

title = "A Multi-Index Generalized Derivative; Some Introductory Notes",

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.",

keywords = "Fractional calculus, Fractional derivatives and integral, Generalized derivative",

author = "M. Vivas-Cortez and Lugo, \{L. M.\} and Vald{\'e}s, \{Juan E.N{\'a}poles\} and Samei, \{M. E.\}",

note = "Publisher Copyright: {\textcopyright} 2022 NSP Natural Sciences Publishing Cor.",

year = "2022",

month = nov,

day = "1",

doi = "10.18576/amis/160604",

language = "English",

volume = "16",

pages = "883--890",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

publisher = "Natural Sciences Publishing",

number = "6",

}

TY - JOUR

T1 - A Multi-Index Generalized Derivative; Some Introductory Notes

AU - Vivas-Cortez, M.

AU - Lugo, L. M.

AU - Valdés, Juan E.Nápoles

AU - Samei, M. E.

PY - 2022/11/1

Y1 - 2022/11/1

N2 - 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.

AB - 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.

KW - Fractional calculus

KW - Fractional derivatives and integral

KW - Generalized derivative

UR - https://www.scopus.com/pages/publications/85140609442

U2 - 10.18576/amis/160604

DO - 10.18576/amis/160604

M3 - Article

AN - SCOPUS:85140609442

SN - 1935-0090

VL - 16

SP - 883

EP - 890

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 6

ER -