Abstract

GARG, Mridula. A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata. Rev. Téc. Ing. Univ. Zulia [online]. 2007, vol.30, n.2, pp.179-189. ISSN 0254-0770.

In the present paper we give a fractional generalization of the Lauwerier formulation of the boundary value problem of the temperature field in oil strata. The Caputo fractional derivative operator and the Laplace transform are the important tools for solving the proposed problem. By using Efros’ theorem which is a modified form of convolution theorem for Laplace transform, the solution is obtained in an integral form with integrand expressed as convolution of auxiliary functions of Wright’s type

Keywords : Caputo’s fractional derivative; Laplace transform; Efros’ theorem; convolution theorem; Wright’s function; auxiliary functions; fractional heat equation.