**Autors:** Boyadjiev, L. I., Kamenov, O. Y., Kalla S.
**Title:** ON THE LAUWERIER FORMULATION OF THE TEMPERATURE FIELD PROBLEM IN OIL STRATA
**Keywords:** Fractional heat equation, fractional calculus, Caputo fractional derivative**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.
**References**
**Issue**
| International Journal of Mathematics and Mathematical Sciences, vol. 2005, issue 10, pp. 1577–1588, 2005, United States, Hindawi Publishing Corporation, ISSN 01611712 |
Copyright Hindawi Publishing Corporation Full text of the publication |