On the Lauwerier formulation of the temperature field problem in oil strata
The paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat equation is solved by means of the Caputo diffe...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1577 |
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| _version_ | 1832548098318008320 |
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| author | Lyubomir Boyadjiev Ognian Kamenov Shyam Kalla |
| author_facet | Lyubomir Boyadjiev Ognian Kamenov Shyam Kalla |
| author_sort | Lyubomir Boyadjiev |
| collection | DOAJ |
| description | The paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat
equation is solved by means of the Caputo differintegration operator D∗(α) of order 0<α≤1 and the Laplace transform. The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type. |
| format | Article |
| id | doaj-art-01e1e93cb60f45319ea62a3cd9563b1e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-01e1e93cb60f45319ea62a3cd9563b1e2025-02-03T06:42:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005101577158810.1155/IJMMS.2005.1577On the Lauwerier formulation of the temperature field problem in oil strataLyubomir Boyadjiev0Ognian Kamenov1Shyam Kalla2Institut für Praktische Mathematik, Universität Karlsruhe (TH), Karlsruhe 76128, GermanyDepartment of Applied Mathematics and Informatics, Technical University of Sofia, P.O. Box 384, Sofia 1000, BulgariaDepartment of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitThe paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat equation is solved by means of the Caputo differintegration operator D∗(α) of order 0<α≤1 and the Laplace transform. The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type.http://dx.doi.org/10.1155/IJMMS.2005.1577 |
| spellingShingle | Lyubomir Boyadjiev Ognian Kamenov Shyam Kalla On the Lauwerier formulation of the temperature field problem in oil strata International Journal of Mathematics and Mathematical Sciences |
| title | On the Lauwerier formulation of the temperature field problem in oil strata |
| title_full | On the Lauwerier formulation of the temperature field problem in oil strata |
| title_fullStr | On the Lauwerier formulation of the temperature field problem in oil strata |
| title_full_unstemmed | On the Lauwerier formulation of the temperature field problem in oil strata |
| title_short | On the Lauwerier formulation of the temperature field problem in oil strata |
| title_sort | on the lauwerier formulation of the temperature field problem in oil strata |
| url | http://dx.doi.org/10.1155/IJMMS.2005.1577 |
| work_keys_str_mv | AT lyubomirboyadjiev onthelauwerierformulationofthetemperaturefieldprobleminoilstrata AT ogniankamenov onthelauwerierformulationofthetemperaturefieldprobleminoilstrata AT shyamkalla onthelauwerierformulationofthetemperaturefieldprobleminoilstrata |