On the Lauwerier formulation of the temperature field problem in oil strata

Lyubomir Boyadjiev, Ognian Kamenov and Shyam Kalla

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-12

Abstract:

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.

Date: 2005
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2005/258975.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2005/258975.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:258975

DOI: 10.1155/IJMMS.2005.1577

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().