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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

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    Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus

    Въведена от: доц. д.н. Огнян Йорданов Каменов