Some Fractional Extensions of the Temperature Field Problem in Oil Strata
| Data(s) |
29/08/2010
29/08/2010
2007
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|---|---|
| Resumo |
This survey is devoted to some fractional extensions of the incomplete lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for the fractional heat equation. By using Caputo’s differintegration operator and the Laplace transform, new integral forms of the solutions are obtained. In each of the different cases the integrands are expressed in terms of a convolution of two special functions of Wright’s type. * Partially supported by National Science Research Fund - Bulgarian Ministry of Education and Science, under Grant MM 1305/2003. |
| Identificador |
Fractional Calculus and Applied Analysis, Vol. 10, No 1, (2007), 75p-98p 1311-0454 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Caputo Differintegration Operator #Fractional Heat Equation #Fractional Integrals and Derivatives #Laplace Transforms #Wright’s Function #44A99 #65D99 |
| Tipo |
Article |
