On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting

Mateo Dulce; Alexander Getmanenko

doi:10.1155/2019/1483764

Abstract and Applied Analysis (Jan 2019)

On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting

Mateo Dulce,
Alexander Getmanenko

Affiliations

Mateo Dulce: Department of Mathematics, Universidad de Los Andes, Colombia
Alexander Getmanenko: Department of Mathematics, Universidad de Los Andes, Colombia

DOI: https://doi.org/10.1155/2019/1483764
Journal volume & issue: Vol. 2019

Abstract

Read online

We study convergence of solutions of a space and time inhomogeneous fractional wave equation on the quarter-plane to the stationary regime described by solutions of the Helmholtz equation.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal