A fractional generalization of the Lauwerier formulation of the temperature field problem in oil strata

Abstract

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

• derivada fraccional de caputo
• transformada de laplace
• teorema de efros
• teorema de convolución
• función de wright
• funciones auxiliares
• ecuación fraccional de calor