A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata
In the present paper we give a fractional generalization of the Lauwerier formulation of the boundary value problem of the temperature field in oil strata. The Caputo fractional derivative operator and the Laplace transform are the important tools for solving the proposed problem. By using Efros”™...
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| Format: | Article |
| Language: | English |
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Universidad del Zulia
2010-05-01
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| Series: | Revista Técnica de la Facultad de Ingeniería |
| Online Access: | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/6145 |
| _version_ | 1811296926194204672 |
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| author | Mridula Garg |
| author_facet | Mridula Garg |
| author_sort | Mridula Garg |
| collection | DOAJ |
| description | In the present paper we give a fractional generalization of the Lauwerier formulation of the boundary value problem of the temperature field in oil strata. The Caputo fractional derivative operator and the Laplace transform are the important tools for solving the proposed problem. By using Efros”™ theorem which is a modified form of convolution theorem for Laplace transform, the solution is obtained in an integral form with integrand expressed as convolution of auxiliary functions of Wright”™s type.
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| first_indexed | 2024-04-13T05:55:42Z |
| format | Article |
| id | doaj.art-35b829ac48114eee802cd671712bb55b |
| institution | Directory Open Access Journal |
| issn | 0254-0770 2477-9377 |
| language | English |
| last_indexed | 2024-04-13T05:55:42Z |
| publishDate | 2010-05-01 |
| publisher | Universidad del Zulia |
| record_format | Article |
| series | Revista Técnica de la Facultad de Ingeniería |
| spelling | doaj.art-35b829ac48114eee802cd671712bb55b2022-12-22T02:59:37ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-07702477-93772010-05-01302A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strataMridula Garg0University of Rajasthan-India In the present paper we give a fractional generalization of the Lauwerier formulation of the boundary value problem of the temperature field in oil strata. The Caputo fractional derivative operator and the Laplace transform are the important tools for solving the proposed problem. By using Efros”™ theorem which is a modified form of convolution theorem for Laplace transform, the solution is obtained in an integral form with integrand expressed as convolution of auxiliary functions of Wright”™s type. https://www.produccioncientificaluz.org/index.php/tecnica/article/view/6145 |
| spellingShingle | Mridula Garg A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata Revista Técnica de la Facultad de Ingeniería |
| title | A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata |
| title_full | A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata |
| title_fullStr | A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata |
| title_full_unstemmed | A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata |
| title_short | A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata |
| title_sort | fractional generalization of the lauwerier formulation of the temperature field problem in oil strata |
| url | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/6145 |
| work_keys_str_mv | AT mridulagarg afractionalgeneralizationofthelauwerierformulationofthetemperaturefieldprobleminoilstrata AT mridulagarg fractionalgeneralizationofthelauwerierformulationofthetemperaturefieldprobleminoilstrata |