Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1294

 Title: Some Fractional Extensions of the Temperature Field Problem in Oil Strata Authors: Boyadjiev, Lyubomir Keywords: Caputo Differintegration OperatorFractional Heat EquationFractional Integrals and DerivativesLaplace TransformsWright’s Function44A9965D99 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. URI: http://hdl.handle.net/10525/1294 ISSN: 1311-0454 Appears in Collections: 2007

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