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On a generalization of the Neumann problem for the Laplace equation

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We investigate solvability of a fractional analogue of the Neumann problem for the Laplace equation. As a boundary operator we consider operators of fractional differentiation in the Hadamard sense. The… Click to show full abstract

We investigate solvability of a fractional analogue of the Neumann problem for the Laplace equation. As a boundary operator we consider operators of fractional differentiation in the Hadamard sense. The problem is solved by reduction to an integral Fredholm equation. A theorem on existence and uniqueness of the problem solution is proved.

Keywords: neumann problem; laplace equation; problem; equation; problem laplace

Journal Title: Mathematische Nachrichten
Year Published: 2019

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