Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems

Juan Bory Reyes

Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Other contribution › peer-review

Abstract

In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two examples for the Helmholtz equation with local fractional derivatives on the Cantor sets are shown by making use of this local fractional Moisil-Teodorescu operator.

Original language	English
State	Published - 11 May 2020

Cite this

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title = "Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems",

abstract = "In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two examples for the Helmholtz equation with local fractional derivatives on the Cantor sets are shown by making use of this local fractional Moisil-Teodorescu operator.",

author = "{Bory Reyes}, Juan",

year = "2020",

month = may,

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language = "Ingl{\'e}s",

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T1 - Local fractional Moisil-Teodorescu operator in quaternionic setting involving Cantor-type coordinate systems

AU - Bory Reyes, Juan

PY - 2020/5/11

Y1 - 2020/5/11

N2 - In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two examples for the Helmholtz equation with local fractional derivatives on the Cantor sets are shown by making use of this local fractional Moisil-Teodorescu operator.

AB - In this paper, general quaternionic structure are developed for the local fractional Moisil-Teodorescu operator in Cantor-type cylindrical and spherical coordinate systems. Two examples for the Helmholtz equation with local fractional derivatives on the Cantor sets are shown by making use of this local fractional Moisil-Teodorescu operator.

M3 - Otra contribución

ER -