Fractional extensions of some boundary value problems in oil strata

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dc.creatorGarg, Mridula
dc.creatorRao, Alka
dc.date2007-07-13
dc.date.accessioned2026-07-07T08:17:35Z
dc.date.available2026-07-07T08:17:35Z
dc.descriptionIn the present paper, we solve three boundary value problems related to the temperature field in oil strata -- the fractional extensions of the incomplete lumped formulation and lumped formulation in the linear case and the fractional generalization of the incomplete lumped formulation in the radial case. By using the Caputo differintegral operator and the Laplace transform, the solutions are obtained in integral forms where the integrand is expressed in terms of the convolution of some auxiliary functions of Wright function type. A generalization of the Laplace transform convolution theorem, known as Efros' theorem is widely used.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0707.1974
dc.identifierhttp://arxiv.org/abs/0707.1974
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134140
dc.subjectAnalysis of PDEs
dc.subject26A33; 44A99; 65R99
dc.titleFractional extensions of some boundary value problems in oil strata
dc.typetext

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