New trends in Laplace type integral transforms with applications
Abstract In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution f...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2017-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/28645 |
| _version_ | 1818309686475096064 |
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| author | Arman Aghili |
| author_facet | Arman Aghili |
| author_sort | Arman Aghili |
| collection | DOAJ |
| description | Abstract
In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution for a variant of the Kd.V equation. Illustrative examples are also provided. |
| first_indexed | 2024-12-13T07:34:07Z |
| format | Article |
| id | doaj.art-8d77dd209d744bfc87bb4b7e55c56205 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-12-13T07:34:07Z |
| publishDate | 2017-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-8d77dd209d744bfc87bb4b7e55c562052022-12-21T23:55:07ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882017-10-0135117319310.5269/bspm.v35i1.2864512995New trends in Laplace type integral transforms with applicationsArman Aghili0University of GuilanAbstract In this paper, the authors provided a discussion on one and two dimensional Laplace transforms and generalized Stieltjes transform and their applications in evaluating special series and integrals. Finally, we implemented the joint Laplace – Fourier transforms to construct exact solution for a variant of the Kd.V equation. Illustrative examples are also provided.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/28645Keywords: Laplace transformGeneralized Stieltjes transformKelvin’s functionAiry differential equationKorteweg – de Vries equation. |
| spellingShingle | Arman Aghili New trends in Laplace type integral transforms with applications Boletim da Sociedade Paranaense de Matemática Keywords: Laplace transform Generalized Stieltjes transform Kelvin’s function Airy differential equation Korteweg – de Vries equation. |
| title | New trends in Laplace type integral transforms with applications |
| title_full | New trends in Laplace type integral transforms with applications |
| title_fullStr | New trends in Laplace type integral transforms with applications |
| title_full_unstemmed | New trends in Laplace type integral transforms with applications |
| title_short | New trends in Laplace type integral transforms with applications |
| title_sort | new trends in laplace type integral transforms with applications |
| topic | Keywords: Laplace transform Generalized Stieltjes transform Kelvin’s function Airy differential equation Korteweg – de Vries equation. |
| url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/28645 |
| work_keys_str_mv | AT armanaghili newtrendsinlaplacetypeintegraltransformswithapplications |