970 resultados para Fractional Laplace and Dirac operators


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Mathematics Subject Classification: 26D10.

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Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.

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2000 Mathematics Subject Classification: Primary 42B20; Secondary 42B15, 42B25

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2000 Mathematics Subject Classification: 42B10, 43A32.

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Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12

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2000 Mathematics Subject Classification: 42B20, 42B25, 42B35

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2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80

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2000 Mathematics Subject Classification: 35E45

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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.

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Mathematics Subject Classification: 74D05, 26A33

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Mathematics Subject Classification: 35J05, 35J25, 35C15, 47H50, 47G30

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Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05

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Mathematics Subject Classification: 26A33, 93C83, 93C85, 68T40

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Mathematics Subject Classification: 45G10, 45M99, 47H09