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Article: On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order
| Title | On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order |
|---|---|
| Authors | |
| Keywords | Fourier transform Fractional Helmholtz equation tempered distribution |
| Issue Date | 2022 |
| Citation | Communications in Contemporary Mathematics, 2022, article no. 2250036 How to Cite? |
| 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.]. |
| Persistent Identifier | http://hdl.handle.net/10722/327436 |
| ISSN | 2021 Impact Factor: 1.708 2020 SCImago Journal Rankings: 1.397 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Cheng, Xinyu | - |
| dc.contributor.author | Li, Dong | - |
| dc.contributor.author | Yang, Wen | - |
| dc.date.accessioned | 2023-03-31T05:31:19Z | - |
| dc.date.available | 2023-03-31T05:31:19Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.citation | Communications in Contemporary Mathematics, 2022, article no. 2250036 | - |
| dc.identifier.issn | 0219-1997 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/327436 | - |
| dc.description.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.]. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Communications in Contemporary Mathematics | - |
| dc.subject | Fourier transform | - |
| dc.subject | Fractional Helmholtz equation | - |
| dc.subject | tempered distribution | - |
| dc.title | On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1142/S0219199722500365 | - |
| dc.identifier.scopus | eid_2-s2.0-85140221742 | - |
| dc.identifier.spage | article no. 2250036 | - |
| dc.identifier.epage | article no. 2250036 | - |