On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order-Reference-Cited by-同舟云学术

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On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order

Published:2022-09-30 Issue: Volume: Page:
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Cheng Xinyu¹,Li Dong²,Yang Wen³

Affiliation:

1. School of Mathematical Sciences, Fudan University, Shanghai, P. R. China

2. SUSTech International Center for Mathematics and Department of Mathematics, Southern University of Science and Technology, Shenzhen, P. R. China

3. Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement, Science and Technology, Chinese Academy of Sciences, Wuhan 430071, P. R. China

Abstract

We show the equivalence of the classical Helmholtz equation and the fractional Helmholtz equation with arbitrary order. This improves a recent result of Guan, Murugan and Wei [Helmholtz solutions for the Fractional Laplacian and other related operators, to appear in Comm. Contemp. Math.].

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199722500365

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