On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting
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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/1483764 |
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| _version_ | 1832561063936131072 |
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| author | Mateo Dulce Alexander Getmanenko |
| author_facet | Mateo Dulce Alexander Getmanenko |
| author_sort | Mateo Dulce |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8d898ff5783f4699829cbf7595f27565 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8d898ff5783f4699829cbf7595f275652025-02-03T01:26:04ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/14837641483764On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional SettingMateo Dulce0Alexander Getmanenko1Department of Mathematics, Universidad de Los Andes, ColombiaDepartment of Mathematics, Universidad de Los Andes, ColombiaWe 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.http://dx.doi.org/10.1155/2019/1483764 |
| spellingShingle | Mateo Dulce Alexander Getmanenko On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting Abstract and Applied Analysis |
| title | On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting |
| title_full | On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting |
| title_fullStr | On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting |
| title_full_unstemmed | On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting |
| title_short | On the Relationship between the Inhomogeneous Wave and Helmholtz Equations in a Fractional Setting |
| title_sort | on the relationship between the inhomogeneous wave and helmholtz equations in a fractional setting |
| url | http://dx.doi.org/10.1155/2019/1483764 |
| work_keys_str_mv | AT mateodulce ontherelationshipbetweentheinhomogeneouswaveandhelmholtzequationsinafractionalsetting AT alexandergetmanenko ontherelationshipbetweentheinhomogeneouswaveandhelmholtzequationsinafractionalsetting |