Solution to linear KdV and nonLinear space fractional PDEs
In this work, the author will briefly discuss applications of the Fourier and Laplace transforms in the solution of certain singular integral equations and evaluation of integrals. By combining integral transforms and operational methods we get more powerful analytical tool for solving a wide class...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2020-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40360 |
| _version_ | 1797633507454877696 |
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| author | Arman Aghili |
| author_facet | Arman Aghili |
| author_sort | Arman Aghili |
| collection | DOAJ |
| description |
In this work, the author will briefly discuss applications of the Fourier and Laplace transforms in the solution of certain singular integral equations and evaluation of integrals. By combining integral transforms and operational methods we get more powerful analytical tool for solving a wide class of linear or even non- linear fractional differential or fractional partial differential equation. Numerous examples and exercises occur throughout the paper.
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| first_indexed | 2024-03-11T11:55:00Z |
| format | Article |
| id | doaj.art-a0528bfd671f46ba820f670e27bbfb1b |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:00Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-a0528bfd671f46ba820f670e27bbfb1b2023-11-08T20:01:49ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139210.5269/bspm.40360Solution to linear KdV and nonLinear space fractional PDEsArman Aghili0University of Guilan In this work, the author will briefly discuss applications of the Fourier and Laplace transforms in the solution of certain singular integral equations and evaluation of integrals. By combining integral transforms and operational methods we get more powerful analytical tool for solving a wide class of linear or even non- linear fractional differential or fractional partial differential equation. Numerous examples and exercises occur throughout the paper. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40360 |
| spellingShingle | Arman Aghili Solution to linear KdV and nonLinear space fractional PDEs Boletim da Sociedade Paranaense de Matemática |
| title | Solution to linear KdV and nonLinear space fractional PDEs |
| title_full | Solution to linear KdV and nonLinear space fractional PDEs |
| title_fullStr | Solution to linear KdV and nonLinear space fractional PDEs |
| title_full_unstemmed | Solution to linear KdV and nonLinear space fractional PDEs |
| title_short | Solution to linear KdV and nonLinear space fractional PDEs |
| title_sort | solution to linear kdv and nonlinear space fractional pdes |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40360 |
| work_keys_str_mv | AT armanaghili solutiontolinearkdvandnonlinearspacefractionalpdes |