Dirichlet problem for the generalized Laplace equation with the Caputo derivative (Q444002)

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scientific article; zbMATH DE number 6065273
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Dirichlet problem for the generalized Laplace equation with the Caputo derivative
scientific article; zbMATH DE number 6065273

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    Dirichlet problem for the generalized Laplace equation with the Caputo derivative (English)
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    13 August 2012
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    In this paper the authors study the solution of the Dirichlet problem in a rectangular domain for a linear fractional Laplace partial differential equation involving the Caputo fractional derivative, by using a method based on the completeness of the system of eigenfunctions of certain Sturm-Liouville problem.
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    Caputo fractional derivative
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    Laplace equation
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    Dirichlet problem
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