On the Generalized Laplace’s Equation

Authors

Luciano M. Lugo, UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, ArgentinaFollow
Juan E. Na ́poles Valde ́s, UNNE, FaCENA, Ave. Libertad 5450, Corrientes 3400, ArgentinaFollow
Miguel Vivas-Cortez, Pontificia Universidad Cato ́lica del Ecuador, Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias F ́ısicas Matema ́tica, Sede Quito, EcuadorFollow

Author Country (or Countries)

Ecuador

Abstract

In this paper, we study the properties and various results of the generalized Laplace Equation, using a previously defined and studied generalized derivative. We discuss the solution of this mathematical problem with conditions of the Dirichlet type and Neumann type. The results obtained are illustrated using various examples, by modeling the solutions under two variations: that of the kernel used and the order involved.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160204

Recommended Citation

M. Lugo, Luciano; E. Na ́poles Valde ́s, Juan; and Vivas-Cortez, Miguel (2022) "On the Generalized Laplace’s Equation," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/amis/160204
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/4