A Multi-Index Generalized Derivative; Some Introductory Notes

Authors

M. Vivas-Cortez, Pontifical Catholic University of Ecuador , Faculty of Natural and Exact Sciences, School of Physics and Mathematics, Quito, EcuadorFollow
L. M. Lugo, Universidad Nacional del Nordeste, FaCENA, Corrientes Capital, 3400, ArgentinaFollow
Juan E. Na ́poles Valde ́s, Universidad Nacional del Nordeste, FaCENA, Corrientes Capital, 3400, Argentina\\ Universidad Tecnolo ́gico Nacional, FREE, Resistencia, Chaco 3500, ArgentinaFollow
M. E. Samei, Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, IranFollow

Author Country (or Countries)

Ecuador

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. It is worth noting that the multi-index differential operator departs from the classic single-order local derivatives, as in the case of the particular cases presented, which leads to an adequate and useful mathematical tool to generalize widely accepted results, with applications potentials to Physics, fundamental within mathematical simulation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160604

Recommended Citation

Vivas-Cortez, M.; M. Lugo, L.; E. Na ́poles Valde ́s, Juan; and E. Samei, M. (2022) "A Multi-Index Generalized Derivative; Some Introductory Notes," Applied Mathematics & Information Sciences: Vol. 16: Iss. 6, Article 4.
DOI: http://dx.doi.org/10.18576/amis/160604
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss6/4