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Title: Some Fractional Extensions of the Temperature Field Problem in Oil Strata
Authors: Boyadjiev, Lyubomir
Keywords: Caputo Differintegration Operator
Fractional Heat Equation
Fractional Integrals and Derivatives
Laplace Transforms
Wright’s Function
Issue Date: 2007
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 10, No 1, (2007), 75p-98p
Abstract: This survey is devoted to some fractional extensions of the incomplete lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for the fractional heat equation. By using Caputo’s differintegration operator and the Laplace transform, new integral forms of the solutions are obtained. In each of the different cases the integrands are expressed in terms of a convolution of two special functions of Wright’s type.
ISSN: 1311-0454
Appears in Collections:2007

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