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

TitleOn the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order
Authors
KeywordsFourier transform
Fractional Helmholtz equation
tempered distribution
Issue Date2022
Citation
Communications in Contemporary Mathematics, 2022, article no. 2250036 How to Cite?
AbstractWe 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 Identifierhttp://hdl.handle.net/10722/327436
ISSN
2023 Impact Factor: 1.2
2023 SCImago Journal Rankings: 1.264
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorCheng, Xinyu-
dc.contributor.authorLi, Dong-
dc.contributor.authorYang, Wen-
dc.date.accessioned2023-03-31T05:31:19Z-
dc.date.available2023-03-31T05:31:19Z-
dc.date.issued2022-
dc.identifier.citationCommunications in Contemporary Mathematics, 2022, article no. 2250036-
dc.identifier.issn0219-1997-
dc.identifier.urihttp://hdl.handle.net/10722/327436-
dc.description.abstractWe 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.languageeng-
dc.relation.ispartofCommunications in Contemporary Mathematics-
dc.subjectFourier transform-
dc.subjectFractional Helmholtz equation-
dc.subjecttempered distribution-
dc.titleOn the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1142/S0219199722500365-
dc.identifier.scopuseid_2-s2.0-85140221742-
dc.identifier.spagearticle no. 2250036-
dc.identifier.epagearticle no. 2250036-
dc.identifier.isiWOS:000861797600001-

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